From f4e171dc2fc8a931ca337cc83898942f1253c6a8 Mon Sep 17 00:00:00 2001 From: Lev Kozlov Date: Sun, 15 Sep 2024 19:29:48 +0900 Subject: [PATCH] fix: remove WIP examples --- examples/adaptive_panda.ipynb | 507 ---------------------------------- examples/invdyn.json | 1 - examples/offline.ipynb | 363 ------------------------ 3 files changed, 871 deletions(-) delete mode 100644 examples/adaptive_panda.ipynb delete mode 100644 examples/invdyn.json delete mode 100644 examples/offline.ipynb diff --git a/examples/adaptive_panda.ipynb b/examples/adaptive_panda.ipynb deleted file mode 100644 index 4873252..0000000 --- a/examples/adaptive_panda.ipynb +++ /dev/null @@ -1,507 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import mediapy as media\n", - "import copy\n", - "import mujoco\n", - "import numpy as np\n", - "from robot_descriptions.loaders.mujoco import load_robot_description\n", - "\n", - "from mujoco_sysid.parameters import get_dynamic_parameters\n", - "from mujoco_sysid.regressors import joint_torque_regressor\n", - "from utils import ActuatorMotor, update_actuator\n", - "from mujoco_logger import SimLogger\n", - "\n", - "model = load_robot_description(\"panda_mj_description\", variant=\"panda_nohand\")\n", - "# disable collisions\n", - "model.opt.disableflags |= (\n", - " mujoco.mjtDisableBit.mjDSBL_CONTACT | mujoco.mjtDisableBit.mjDSBL_FRICTIONLOSS | mujoco.mjtDisableBit.mjDSBL_LIMIT\n", - ")\n", - "\n", - "for actuator_id in range(model.nu):\n", - " actuator = ActuatorMotor()\n", - " update_actuator(model, actuator_id, actuator)\n", - "\n", - "data = mujoco.MjData(model)\n", - "\n", - "try:\n", - " renderer\n", - "except:\n", - " renderer = mujoco.Renderer(model, height=480, width=640)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# model and data specifically to perform controller computations\n", - "cmodel = copy.deepcopy(model)\n", - "cdata = copy.deepcopy(data)\n", - "\n", - "\n", - "def controller(q, v, dv_desired, theta_est):\n", - " \"\"\"\n", - " Inverse dynamics controller with feedforward term.\n", - " \"\"\"\n", - "\n", - " cdata.qpos[:] = q.copy()\n", - " cdata.qvel[:] = v.copy()\n", - " cdata.qacc[:] = dv_desired.copy()\n", - " mujoco.mj_inverse(cmodel, cdata)\n", - " mujoco.mj_rnePostConstraint(cmodel, cdata)\n", - "\n", - " Y = joint_torque_regressor(cmodel, cdata)\n", - " return Y @ theta_est" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# ideal set of dynamic parameters\n", - "theta = np.concatenate([get_dynamic_parameters(model, i) for i in model.jnt_bodyid])\n", - "\n", - "# perturbed set of dynamic parameters\n", - "theta_perturbed = theta.copy()\n", - "theta_perturbed *= np.random.uniform(0.4, 1.5, size=theta.shape)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# generate waypoints in joint space\n", - "N_WAYPOINTS = 50\n", - "T_WAYPOINT = 0.3 # time spent moving to each waypoint\n", - "\n", - "np.random.seed(0)\n", - "waypoints = np.random.uniform(model.jnt_range[:, 0], model.jnt_range[:, 1], size=(N_WAYPOINTS, model.nq))" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
" - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "mujoco.mj_resetData(model, data)\n", - "\n", - "KP = 70\n", - "KD = np.sqrt(4 * KP)\n", - "\n", - "framerate = 30\n", - "frames = []\n", - "\n", - "qhist = []\n", - "qtarget = []\n", - "\n", - "with SimLogger(model, data, output_filepath=\"invdyn.json\") as logger:\n", - " while data.time < T_WAYPOINT * N_WAYPOINTS:\n", - " # compute the current waypoint\n", - " waypoint_idx = int(data.time // T_WAYPOINT)\n", - "\n", - " # compute the desired configuration\n", - " q_desired = waypoints[waypoint_idx]\n", - " v_desired = np.zeros_like(q_desired)\n", - "\n", - " # compute the target acceleration\n", - " target_acc = KP * (q_desired - data.qpos) + KD * (v_desired - data.qvel)\n", - "\n", - " # compute the control signal\n", - " tau = controller(data.qpos, data.qvel, target_acc, theta_perturbed)\n", - "\n", - " # apply the control signal\n", - " data.ctrl[:] = tau\n", - "\n", - " # record the log\n", - " qhist.append(data.qpos.copy())\n", - " qtarget.append(q_desired)\n", - "\n", - " # step the simulation\n", - " mujoco.mj_step(model, data)\n", - " logger.record()\n", - "\n", - " if len(frames) < data.time * framerate:\n", - " renderer.update_scene(data)\n", - " pixels = renderer.render()\n", - " frames.append(pixels)\n", - "\n", - "\n", - "media.show_video(frames, fps=framerate)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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C9nvXIPu9azjU+11VVerrszGZ4lGUznkEuapdLKtZBsBJl5+EPkjP0puWghNOHHEi5h7mdh/zUO/3QxXZ712D7PeuQfZ7x6B5ibVGl4mguLg4AAoKCoiPj/cuLygoYMSIEc3uZzabMZsbP8CMRuNB84U5mNrSnZD93jXIfu8aDtV+37nzTnJy3iQoaAgjR/6LwRDS4edwFApXCH2InoBIkRTBlGjCnmHHle/C2Hvf++1Q7fdDHdnvXYPs965B9vv+0da+67I6QampqcTFxfHnn396l1VWVrJ8+XKOPvrormqWRCKRSDoJm20POTlvAlBTs4mcnLc65Tz2HBE3ak70TZhZki1iXba9yX0kEolE0r3oVEtQdXU1aWlp3s979uxh3bp1RERE0KNHD+6++26eeeYZ+vbtS2pqKo8//jgJCQmce+65ndksiUQikXQBZWV/+n0uKvqOlJSHO/w8mtAxJZq8y8zJQhDVZckSDBKJRCLpZBG0atUqjj/+eO9nLZbn6quvZtq0aTzwwAPU1NRw4403Ul5ezvjx45k7dy4Wi6UzmyWRSCSSLqCy8l8A4uKuJT//U6qr1+Ny1aLXd2xSG68lKMlnCdJEkD1LWoIkEolE0skiaOLEiaiq2ux6RVF46qmneOqppzqzGRKJRCI5CKit3QZARMSplJT8isNRSE3NJqzWozr0PE25w0kRJJFIJJKGdFlMkEQikUi6F7W1OwAICOhHYOBAAGy2XR1+Hs0dzs8SlCRFkEQikUh8SBEkkUgkkk7H4SjD6SwBICCgDxZLDwDs9swOP1d9Tj2wlyVIE0G5UgRJJBKJRIogiUQikRwA6up2A2AyxWEwBGM29/As73gR1KQ7XIJ4X59fj+pq3k1bIpFIJN0DKYIkEolE0unU1xcCQgQBXktQXV1Gh55HdanUFwhLkCnBlx3OGGMUTzw31BfVd+g5JRKJRHLoIUWQRCKRSDodh6MIAKMxGgCzOQkAuz27Q8/jLHeCW7w3RvkK5ukMOkwxQhTV50oRJJFIJN0dKYIkEolE0uk4HMVAQxGUCEB9fU7HnqfEAYDeqkdn9H/EaZYhGRckkUgkEimCJBKJRNLp7G0JMpkSPcuLcbs7TpQ4ioUIMkYaG63zxgVJS5BEIpF0e6QIkkgkEkmnU1+viaAoz99IFMWTsc2e12Hn0SxBTYkgzRJUnydFkEQikXR3pAiSSCQSSaejucOZTMISpCgKZnMC0LEucZoIMkQ2rgVuipfucBKJRCIRSBEkkUgkkk5nb3c48MUF2e0dJ4KcJU5xnijpDieRSCSS5pEiSCKRSCSdjk8ERXmXaXFBdntWx52nDe5w0hIkkUgkEimCJBKJRNLp7J0dDiAoaDAAlZXLOu48LYggaQmSSCQSiYYUQRKJRCLpVNxuB05nGeAvgsLDTwKgrGw+brezQ87VUnY4LSaovrAet9PdIeeTSCQSyaGJFEESiUQi6VQcjhLPOwWjMdy73Go9CoMhEqeznMrKfzvmXC0lRogxiaeeGxyFjg45n0QikUgOTaQIkkgkEkmn4nOFi0RR9N7liqInPPx4ACorV3TIuVpKjKDoFUxxMi5IIpFIJFIESSQSiaSTaSoznEZw8AgAqqvXdcy5WogJAhkXJJFIJBKBFEESiUQi6VSaygynERQ0HICamo37fR5VVVsVQd64IFkwVSKRSLo1UgRJJBKJpFNpKjOcRkBAKgB2e+Z+n8dV7UKtV8W5mhNBMk22RCKRSJAiSCKRSCSdTEvucGZzMgBOZzlOZ9X+ncdjBVLMCrrAph9v0h1OIpFIJCBFkEQikUg6mfr65t3hDAYrBkMYsP9FUxsmRVAUpcltpCVIIpFIJCBFkEQikUg6Gc0dzmRqbAkCnzVof0VQa/FA0MASJGOCJBKJpFsjRZBEIpFIOpWW3OHE8hjAZzHa5/O0QQRpiRGkJUgikUi6N1IESSQSiaRTaSk7HPgsRNp2+3yedliCHIUO3A73fp1PIpFIJIcuUgRJJBKJpFNpKTtcw+X7LYKKhQgyRBqa3cYYbQQ9oEJ9gXSJk0gkku6KFEESiUQi6TRUVT1gIsibGKEFS5CiUzDHy7ggiUQi6e5IESSRSCSSTsPprEBVPW5qzbjDacs7LCYoqnkRBA0Kpso02RKJRNJtkSJIIpFIJJ2GZgXS64PR6y1NbuOzBBXv37naEBMEMk22RCKRSKQIkkgkEkkn0lpmODiwiRFAFkyVSCQSiRRBEolEIulEWssMJ9YduMQI0MASlCctQRKJRNJdkSJIIpFIJJ1Ga0kRxDohkJzOMtxuxz6fqy2JEQBfYgRpCZJIJJJuixRBEolEIuk02uIOZzRGAopn+5J9Oo+73o2r2iWO11piBBkTJJFIJN0eKYIkEolE0mloGd9acodTFL13vcNRuE/n0eKB0IEhtGV3OBkTJJFIJBIpgiQSiUTSaWiWIJMppsXtjEaxvr5+/0SQMcKIolNa3FazBDmKHLgd7n06n0QikUgObaQIkkgkEkmnoVl2NJHTHJpI2mdLUBuTIoCIGVIMQijV50trkEQikXRHpAiSSCQSSaehWXY62xLU1qQIAIpOkQVTJRKJpJsjRZBEIpFIOo0DZgnS3OFaSYrgPZ9MjiCRSCTdGimCJBKJRNIpqKrawBLUfHY46ABLULmwBBnCWneHgwbJEfKkJUgikUi6I1IESSQSiaRTcLkqUVUhMlpKkQ37bwlyVYn02AZr20SQ5g4nLUESiUTSPZEiSCKRSCSdgmbV0euD0esDW9xWswRp2eTqMutwVjjbfC5npdhWH6Jv0/aWHhZxnl11bT6HRCKRSA4fpAiSSCQSSafgK5TacjwQ+CxB9fWFFM8uZlnPZawcshJHqaNN59IsQXpr20RQ0NAgAKrXV7dpe4lEIpEcXkgRJJFIJJJOoa2Z4aChJaiQ9KfSQQV7tp2CLwvadC6vO1xI29zhgocHA1C7vRZXnatN+0gkEonk8EGKIIlEIpF0CvX1+UDr8UDgE0ouVzXVm4u9y0t/L23TubzucG20BJkSTBijjeCG6rXSGiSRSCTdDSmCJBKJRNIp2O3ZAJjNSa1uq9eHoCgiYxth5d7lbRUoXne4NsYEKYpC6LhQACoWV7Rpn72x2WyceeaZXH311bjd7n06hkQikUi6BimCJBKJRNIp2O1ZAJjNya1uqyiKL412WDkxl8aAIlJY1xe1nsZaswS11R0OIHT8/omgefPm8euvv/L555+zZMmSfTpGR5GXl4fD0bb4KYlEIpFIESSRSCSSTqK8vO0iCBokUAgvI+TIECw9RQa32m21re7b3sQIAKETPCJoSQWqW23zfhpLly71vl+xYkW79+8o7rrrLhISEujfvz/Z2dld1g6JRCI5lJAiSCKRSCQdzmuvwa5dQgS5XG0TQSZTnHgTWULggEAsvTxprPe0nsbaVdk+dziA4JHB6AJ1OMuc1G5tXWjtTUMRtHPnznbv3xGsWbOGN954A4A9e/Zwxx13dEk7JBKJ5FBDiiCJpLvw44/w8stQ2/7BnkTSHmw2eOIJlehoYZX45Ze2iSCzyRM7FFMoRJDHElSX3rIIUlUVZ5XHHa6NxVIBdEadN0tc9cb2JUdwOBysXLnS+zkrK6td+3cUn3/+OQCDBw9GURR+/PFH9uzZ0yVtkUgkkkMJKYIkku7Azz/DeefB/ffDddd1dWskhzl//gkGQwFmcx0ul44ff0xs0356W7x4E1eEpYeFgNQAoHVLkNvmBk+W6/ZYgsBXL6hmY0279tuwYQM2m837uStEkNPp5Ouvvwbgv//9L8cffzwA33777QFvi0QikRxqSBEkkXQH3n/f9/6bb2D16q5ryyFKRcVS0tLup7R0Xlc35aDn558hJWUrAPn5qSxbZqZNydMKRUyQrkcpil5psyVIiwdCAX1QO0XQkH0TQZorXEpKCtA1IuiPP/6gsLCQqKgoJk2axIUXXgjAnDlzDnhbJBKJ5FBDiiCJ5HDH6YS//hLvhw4Vf999t+vacwhSWbmCdeuOJTv7ZTZsmERBwYyubtJBzbJl0KPHNgCyswdSXg67d7e+nzsjEgAltggAU6IJgPr8lrPDaa5w+mA9ik5pV1u9lqBN+yaCLrjgAgDKy8upq2s9dqk1VFXl/fffZ8GCBa1u++WXXwIwefJkjEYjJ5xwAgDLly/vkLZIJBLJ4YwUQRLJ4c7WrSJIIyQEPAHUzJwJMp1um9mz53FU1YlOJywTO3feitO5b2mVD3dqa2HzZp8lqLp6AAA7drS+r2NbOABuaz6qqmKKa5sI8iZFaEdmOA3NElS3p84rplpDVVX+/vtvAE4//XT0enHe0tK2FXZtia+//pqbb76Z0047jYqK5r9jDoeDX375BYDLLrsMgH79+hEXF4fdbmf58uX73RaJRCI5nJEiSCI53Fm1SvwdPRomTICYGKiogIULu7Zdhwh1dRmUlc0DFI44YiOBgQNxOsvIzn6zq5t2ULJ+Pbhc0KfPNs+SgQC0JXmafX0IAKrehtNZ5hVBznInrjpXs/tp7nDtqRGkYYoyYYw2AmBLs7WytWDnzp3k5uZiMpk45phjiIiIAKCkpKTd59+befOEu6XdbvdLvLA3S5cupbKykqioKMaMGQOIWkvHHXccAAvl71sikUhaRIogieRwZ6uYkWfoUNDr4ayzxOfZs7uuTYcQJSW/AWC1HkNgYB969HgEgLy8D1HV5gfm3RXt69azp3gTFCQsQWlpre9bt1WFclG7x27PwhBqQDEL9zZHQfOWS61Q6r5YggBfKu7dbXMh+8vjXnr00UcTEBDQoSKoYWa3zZs3N7vd77//DsCkSZPQ6XyPcimCJBKJpG10uQiaMmUKiqL4vQYMGNDVzZJIDh927RJ/+/QRf888U/ydP79r2nOIUVo6F4DIyNMAiI6+EIMhHLs9k9LSP7qyaQclaWlgsVRjtYr02LGx4n7emiXIZXNRn1fvTY5QV5eBoiiYYlt3ifMWSm1nZjiNgN4iC51tV9ssQX/++ScAJ554IgCRkSKWqSNEUGZmpvd9RkZGs9tpxVmPPfZYv+Xa56VLl1Jf37IboUQikXRnulwEgahvkJeX5339888/Xd0kieTwQRNBvXuLv8cdB4oC27ZBbm7XtesQQFXdlJf/DUB4+CQA9HoLMTEiBqOoSKYi3ptdu3xJEYzGGHr2FFaS1krXaBnglHxRU8hmE6qpLXFBmiVoX9zhAAJ6eUTQ7tZFkNvt9iYt6GgR5Ha7yc7O9n5uTgSpqsratWsBGDlypN+6QYMGERUVhc1mY5XmCis5pHG5alBVtaubIZEcdhwUIshgMBAXF+d9RUVFdXWTJJLDA1X1+SFplqDwcBgxQrz3BHdLmqa2dgcuVwU6XQDBwSO8y6OjRSri4uIfcbtlgomGNBRBgYED6dVLLE9PF7FCzaHVAjLYUgHR99A2EeS1BO2rO1zvtrvDZWVlUVJSgsFg4MgjjwR8Imh/EyNUVlbidPqSMzQURA3Jzs6mpKQEvV7PUC3jowdFUbzWIOkSd2jjdFayceNZLF4czPLlfamqWtPVTZJIDiv2bdqsg9m5cycJCQlYLBaOPvponn/+eXr06NHktna7Hbvd7v1cWVkJiEw5ji7OdqWdv6vb0d2Q/d4ChYUYa2pQFQVnYqI3I5xu4kT0a9fi/vNPXBddtE+H7g79Xl6+BIDg4FG4XCoul7jWoKCxGI3ROBxFlJTMJyzspAPWpoO534XmNnDhhSIeyGLpR2ysA4PBQH29QkaGg+Tkpvet2SlSVJvcvXAANTXbcTgcGKLFY8qWa2v2muvLhEBSgpR96hdjD09ihN3Nn0NbvmnTJgD6eCYVHA4HYWFhABQVFe3X/6WwsNDvc0lJSZPH27BhAyCywen1+kbbjB8/nlmzZjF//nzuv//+fW7PwcDB/H3vbLZtu46SEpEBsK5uFxs3ns3IkWswGMI7/dzdud+7EtnvHUNb+6/LRdCYMWOYNm0a/fv3Jy8vj6lTpzJhwgQ2bdpESEhIo+2ff/55pk6d2mj5vHnzCAwMPBBNbpU//pBxAl2B7PfGhO7axUTAHhbG7544BoDYoCDGArVz5vDnfhZWPJz73WL5HrMZioqiGhWgtFhGYjbPY82a16mrO/CxFwdjv1dWGqmoON1rCUpPd7Njxxyio08kLy+YGTOWM3hw0y5jlr8smDFTVh6ECSgv38icOXMwV5qxYCFtZRqb5mxqet+NYt/0wnS2z9ne7nYrBQpWrNgybcz5dQ60UGro559/BiAsLMz7nSgqEnWN1q9fv1+FSndprqse8vPzmzzeb7+JZB3BwcFNrrdYhGXr77//ZsaMGVit1n1u08HCwfh970z0+p0EB3+PquqorX0Ei+UT6utzWLjwTuz2Sw9YO7pbvx8syH7fP2pra9u0XZeLoNNOO837ftiwYYwZM4aUlBS+/fZbrr/++kbbP/zww9x7773ez5WVlSQnJ3PKKad0+Y3e4XDwxx9/cPLJJ2M0Gru0Ld0J2e/No3gGSOaUFE4//XTfivHjUZ97juD8fE4fPhwSE9t97O7Q7xs2/JeqKhg69EKio0/3W1dWpmfLlnkEB2/g+ONPRVEOjHfxwdzvK1cK9dCrlxBBo0efR3j4KQwerCcvD2Jjx3L66U3HNmybto0SSugzZCKZgE5XyqRJx1KYXsXu73aTYElgwOlNJ83Z+eNOCimk/4j+JJ2e1O52u+vdLL1pKYpD4eQxJ2OMatyvWr9rTJw40fubysnJYfr06QQGBvr/ztqJFmsUGxtLQUEBNTU1nHLKKRgM/o/qRYsWAWISsbnzvffee2zYsAG73b5fbepqDubve2eyc+f1FBZCTMxl9Ov3BMXFg9m+/VKCg//g+OM/Rqczder5u2u/dzWy3zsGzUusNbpcBO1NWFgY/fr1I62ZfKpmsxmz2dxoudFoPGi+MAdTW7oTst+bwDNDrSQk+PdNZCSMGgWrVmH891/wFFvcFw7XfldVFZtNWBWs1mGNrjEq6mT0+hAcjjzq6tZhtY45oO07GPs9JwcUxU1srLBohIQMwmg00ru3SEaYkWGguSZrKbBDkhIwGqNwOIpxOPZgSRCixlnkbPZ61WohrEzhpn3rEyMYY404Chy4ClwExjfvVaBlb+vfv7/3XDExIqNdWVnZfv1PqqqqAEhNTaWwsBBVVamqqvIeXyMrKwuA3r17N3u+iy66iA0bNvDDDz9www037HObDhYOxu97Z+F22ykp+QmAxMQbMRqNxMVdxJ4991Ffn0tV1V9ERZ11QNrSnfr9YEL2+/7R1r47KBIjNKS6uppdu3YRHx/f1U2RSA598vLE34SExus89URkcoSmcTiKcDrLAIWAgL6N1ut0ZiIjzwBEggQJZGZCWFghRqMd0GE2CwGjJUfYvbv5fevzhEuhKc5EUNAQAKqr12OK8SRGKGghO1yVp07QPqbIBjAnick1e7a9xe20uJ24uDjvso6qE1RWVgZAVFSUN86ouLi40XZaLaHU1NRmj3XBBRcAwq2mrbOikoODiop/cbkqMJniCA0dB4Ci6ImJuRiAwsKvu7J5EgnV1VBT09Wt2H+6XATdf//9LFy4kPT0dP7991/OO+889Ho9l1564HxeuwOqqvL8888zdOhQLrvsMm9greQwRxNBTU0qaCJIZpBqktpa4dJlsfRErw9ocpuoqHMBKYI0MjMhNlZYSszmBHQ6MRvXmghSVdWb/c0UZyI4WKR9rq5eizFWHKMlEeSq3L/scNB+ERQbG+td1lHZ4TQRFB4e3mLa7baIoIEDB9K3b18cDgfz5s1rVztUVaWkZA7Z2W9SU7OlXftK9p+KisUAhIVN9HOzjYmZDEBJyc+4XG0r7CuRdDQ7d0JysnitX9/Vrdk/ulwEZWdnc+mll9K/f38uvvhiIiMjWbZsGdHR0V3dtMOKn376iUceeYRNmzbx9ddfM2LECK6//npycnK6ummSzkSrA9SUCJowQdQL2rHDJ5YkXjQRFBjYfPHmiIjTUBQjtbXbqKnZdqCadtCSlQUxMZoI8mX41MbqzdUKclW6cNe5gcYiSCuW6qp04aprOse2liJ7X+sEQdtEkNvt9iZBaEoElZSU7Fc9l/LyckCIIM0StLcVp66uziuMkptLtefh7LPPBsT9v62oqsq2bVezceMZpKXdycqVQ8jJebfN+0v2n/JyEfMVGupfCDck5EjM5iRcrmrKymTgvKRr+OQTKC+HsjJoIk/ZIUWXi6AZM2aQm5uL3W4nOzubGTNm0Fsr6ijpMD744AMALrzwQi6++GJUVeWTTz6hb9++TJkyBVdLBTwkhy4tWYLCwnz1gqQ1qBG1tSIeqCURZDBYCQ8XBTNLSmYfkHYdzAhLkCjwabH4RJBmCcrPh6aS9mhWIH2oHn2AvoEIWoc+VIdiEgkXtLihvdGKpXa2Jaiqqsp7r2w4Uae5wzmdTm9cz75QUVEBQGhoqDfRj7ZMQxNhRqPRK5Sa46yzRNzInDlzcLvdbWpDQcGXFBR8gaIYsFrHAio7d95ORcWSdlyJZF9RVTdVVcsBCA0d77dOUXRERZ0PQFHR9we8bRIJwOLFvvc//wx7ZfY/pOhyESTpWNx2N6V/lOKq8Ymampoa/vSkR54yZQrffPMNS5cu5ZhjjsFmszF16lRuvvlmWZH6cCQ/X/xtEL/gh3SJaxa7XRSqbGjRaArNJa6oaFZnN+mgx98dzmelCA8XmhuatgbZ84Tw0AqjBgYOQKez4HJVU1e3yxcXVNi0S5y3WGonxwRplpqIiAi/wNvAwEBvWur9cYmrrq4GROrr0NBQoLElSBNB0dHRKEoLubyBcePGERQURElJCZs3b271/KrqJiPjWQB69pzCyJH/Eht7BeBmx46bUVU5WdbZ1NXtweWqRlHMBAYObLQ+OlqIoJKSn2ShZkmX0NCt2emE2Yfw/J8UQYcZu/6ziw2nbGDrVVu9y9asWYPdbicxMZFBgwYBMHbsWP755x8++eQTdDodH330EW+88UZXNVvSWWhB1Xtll/IiRVCz1NcLK5rZ3ERSiQZERp4D6KmqWkFV1brOb9hBis0mkhGGhxcAYDL591tLcUEN44EAdDoDwcEjAKisXNZiXJCqql5LkMHaue5wmghq6Aqn0VIMT1tpKIJaswS1xWXcYDBwzDHHAL602i1RUfEPNtt29HoriYl3oigKffq8gcEQRk3NJgoKprfreiTtp7p6IwBBQYPQ6Rp/n0NDx2M0xuB0llFe/vcBbp2ku2Oz+RxM7rlH/J11CM//SRF0GKG6VXLfEzEgxbOKcVaLgcF6T+TaiBEj/GYOFUXh2nPP5dXnngNEkop///33ALda0mnU1vp8j5obMB17rIgL2roVCgoOXNsOAex28VvaezC/N2ZzHNHRFwKQk/N6p7frYCVbGM6IjBSDdJPJ/zuniaCdOxvvq7m5aSIIIDR0AiCCxLW4oKbc4dx1bvAYKDrKEtScVbwlEdQRGeJqPOmWgoKCmrUEaYkZ2ho3O2GC6MfFDX1Y9qK2FurqoLj4BwCios7BYBDFyo3GcJKTHwQgO7v7fr8PFDU1ImlRUNCwJtcrir6B9Vm6xEkOLBnC25ngYLjxRvH+zz9FjNChiBRBhxH2LDuqw/fwrtkgHqiaCBo+fLhvY6cTbroJIiK44+GHubhPH5xOJxdffPF+p3mVHCR4ZowxmcQdqykiImDoUPG+DTPF3QVVVamvFyLIbG49XX9yspgSKyj4Crs9v1PbdrCizQ5qIsho9B+ka1+zphJTOkqEuGlYpFQLCi8vX9RimmwtMxyAPmg/RFCiEEHuGjfOCmeT22hWmZYsQR3lDtcRliDwiaCGE1xOp+/2MH26cFeMiVHJyNBE0Hl+x4iPvwFFMVNdvYbKylXtvCpJe6iuFj+Q4OCmRRD4XOKKi3+QLoqSA0p6uvibmgoDBsCgQeBwwG+/dWmz9hkpgg4jbGk2v89Va0SA7k7P1OvgwYN9K595BjzJEhRV5aO0NPqFhpKTk8NNN90k44MOBzRXuOhoYe1pDukS1wiXqxK3W/yeTKbWRZDVOgardSyqWk9ubvfMpKUNqkNDmxZBwzxjuiZFUKlHBEU0FEHjAAWbbQe65HKgaRHUsEaQoms5RqYl9AF6DJHC/ag5l7iWLEFRUVGAz1KzL7TFEtReETRq1ChAFFjVag7dcIPwkL3vPrjlFqivh8jIzej1GYCFiIhJfscwmaK8A+/Cwhn7dnGSNlFTo7nDDW12m7Cw4zEYwnA4Cikvb97CJ5F0NFpMp5bx89RTxd+//uqa9uwvUgQdRuwtgqpXi1lFrcJ5SkqKWJGfD//9r3j/2WcwaxYhisJXFRUY9Hq+//57pk2bdqCaLekE6uuLKCj5ltpEwDM4a5aJE8VfKYK8aK5wBkMYen1gm/ZJShLWoNzcd7tlDY/CQlAUN0FBLYugzZvFzGFDnKWemJ4IXwyE0RjudQly9hLZspq0BHVAUgSN1uKCWhJBiYmJgCj7sK80FEHNWYI0kRXTXJzfXlitVvr2FcV+165di9MpbvsAr7wCVVVw1FEwefJ8AHJzj23yO6+5fArrg5wk6wzcbid1dSJorqWslDqdiejoiwDIzn75gLRNIgFRBgFAG06eKJKjShEk6Xpse4QIMieLB3nV2ircbrf3oeytKfHWW2C3wzHHwJVXwnnnwQMPMBp4xjP7eMcdd7Br164Dfg2S/ae+vojVq0ez1fQiKz+ByuGmlnc41lOLYtMmn/Wom6O5wrXFCqQRFXU+ZnMPHI4iioq+6aymHbQUFkJwcDk6nRAle8cE9ewJISHC6rBjh/++Xne4BpYggKgokeLZFiuKfTYVE6S5ru1PUgQNzSVuX0SQdn/dHxHU3uxwbWXkSJFyfM2aNQ2y89mBqZjNi/n4Yzj1VFF3Zu7ck5usBB8RMQmdzkJd3W6vtULSsdTVpaOqTnQ6C2ZzYovbJiffD+goKfmFqqo1B6aBkm7P3glnJ0wAg0EkvNFc5Q4lpAg6jHAUigFCxOkiQLd2cy15mXk4HA50Oh0JCZ4A72+/FX/vusvnJvX44xAXx/2lpUzs25eamhqZNvsQJTv7Fex2MV2jmmDXqekt7xAVBZqrpIwLAsBuFwEurSVFaIhOZyAhQUSK5udP64xmHdQUFkJYmBig6/VWdDqz33qdzhcXtHeV8aYsQQBRURcAUG1ZABZb05agCo8lKLQDLEGeCSR7xr6LoCxtqnQfaIslaF9EkOYSt3btWm9iisTEL4Ap2O3H0rt3FYoiLMH//ntykylv9fogwsNPBqCk5Jc2n1vSdmy2NAAslt4oSsvDs8DAfsTEXArA7t2PdHrbJBLw5U/SboEhIcKSDIemNUiKoMMIrYZGyBEhGMINqE6V7QtFwcfExEQMBoNIzbRzJxiNcNppvp2DguDRR9EDH9XXY7FYmD9/Pl9//XUXXIlkX1FV1ZvGtu/WU1CcUBFf1HrqZukS54cvKULbRRBAbOyVgEJ5+d/YbOkd37CDmKIiCA0VlsS9XeE0PAYJVq70X+6NCYr0twQFBw/HYklFVWwwenWTdYK86bFD998SZOkpav3UZTTtzthSYoSkpCRg30WQqqqdZgnSRNCaNWu8WZzsdp/SWbLkM9zuGurrY9i9eyhffdX0cSIjzwCgpOTXNp9b0nZsNqFQAwP7tmn71NSpKIqBsrLfKStb0JlNk0iApksPamHFh2JyYSmCDiMcRZ40szEmgkeJbGBpy8TMktcVbpUns88RRwgJ35BrroGwMHpnZPDYhcL/+5577qGsrKzT2y7pGOrqdmO3Z6EoRuI2JBLlMezk5X3Y8o7aXezvvzu0PaqqUlb2N4WF/u5h5eWLKSiY0eyrqzMe+dJjt90dDsBi6UFY2PEAFBR80eHtOpgR7nDiXmE0hje5zdFHi79Llvgv1yxBe7vDKYpCZOSZ4sPYZThLnLgdbv99O9AdLiA1AIC6PY1FkKqqLYog7R6bk5ODy9X+7299fb13v46MCQKfO9zOnTspLKwEbJSV/eldv3SpuD+Ehp6Pqur4/femPWMjIk4HRO0mh0NmEe1oNBEUENA2ERQQ0Jv4+JsA2L37oUPac8PprKS09HdKSuY2ejWkqmpto/XdbcKpK9nbEgS++/rSpQe+PfuLFEGHEZo7nDHaSMgoIXD2rBcO4F4RpKVmGtZE+s0Gid//k53NwIEDKSws5MEHH+zchks6jPJyoXqs1jHo88uI8zw/iotnoaru5nfU4oI2boT9SPHbuD0LWL/+eLZsmey3PCvrZbZuvbTZV1eLoLYWSm2KuLirASgo+PyQHpS0FyGCxIBdrw9tcptx48TftWt9JaxUl4qzvGl3OMCXqWyoiEPRJns0OtIdzmsJSm8sgsrLy3E6RTubEiDx8fHodDqcTicF+1BzS7MCgX92uIYiyG63U1Ulsn62xxIUFRXlfQbs2LEO+AuXy5dIZ/fuDYCOwYNvZuRIkUJ75szGx7FYkj1Zy9yUlv7e5vNL2kZ7RRBAz56Po9MFUVW1guLiJvwYDxE2bTqfDRtOZePG0/Z6neG3XUbG0422WblyIE5nRTNHlnQUbre4z4O/CBozRvzdsuXQqxckRdBhRH2Rp+p6jAnr0WIWMWdHDiAe0IAY5ELTIgjgtttAp8P099+8/9BDAHz44YcslG5ShwRaob2QkCOhuJjwtaB3B1Jfn09Fhc9WvWnTeaxZM873yjmfNR8FsOYNla2rLvA75pYtl7JmzTg2bjyLurrMdrXHbm86SDw4eBhhYSc0+4J9T3XcEfgSI7RfBEVFnY9OF4TNlkZl5SHoH7CPaIkRQGTVa4qUFEhIEINszSXOUeYTNYbwxiIoOHiEeJOUA8Z66vP9XeK8lqCOcIdLFSLInmPHbfefNNCETWhoKBaLpdG+BoPB6xKXvg8Rwlo8kNlsxmAweEWQw+Ggrk6IMs0VzmAwEBYW1q7jay5xu3evBX72W1dSAgMHfklw8HAuu0wsa84TWrrEdR61tZoI6gPLl8P8+SKJUQuYTLEkJd0BQF7e+53exs5Ci4cKCOhPcPBIv1dDLJbUvdYpuN111NcXdUGruxdlZb7Mng3ngWJifMWw93Z1PtiRIugwwV3vxl0jHtqGcAOh48UDtKhE3Bi8M5ctWYIAevQQ2eKACf/+y40ey9ANN9yAzWZreh/JQUNNzRYAgoIGQ1EROidE6cT0e1GRb2q3qmoVlZX/+r9626gcAtW2TX7HrKpaS2Xlv5SU/EJR0ax2tUez6GhuNBqpqU8xYsSfzb4qK5eza9cD3vimA82+usMBGAzB3nTC+fmfdWi72oOqwg8/wB13iLJg+5G0rFWcTjGQDgoSs7EGQ9OWIEWB8ePF+z/+8OzrcYXTW/XoDI0fSSZTAgZDOOhdkJLRKHNbR8YEGaON6AJ0oEJdlr81qC1uaL08I4Hdu3e3+9wNkyKAiAtSPIlrNGuQ1oaoqCjvuraiiaDMzFWASGxw6qnDPcePJDZWBNlfconYftEiXzrchmi/5dLSuV1usT2ccLsd1NWlAxD4n9dh7Fg4+WTo06fViPP4+BsAKC2dh92e09lN7RQiI08jKuo8hg2bwxFHrGnw8i/O26fPy37r9XrNrb/7WN27Cs3AHR4OZv+8N4wdK/4uW3Zg27S/SBF0mKDVygAxmDBFmwgcEEgZwkc/JiZGyHjtqTZkSPMHu0PMKvHFF7z4yCMkJCSQlpbGlClTOqn1ko6itlaIoMDAQV6n/iirmLktLfX5Vvfv/xGDB//g/yq7l8GPQZ/pYX7H7Nv3LW+ci6q2PCvZGCHMFaV9rkrV1avJynqpS7JQqaq6z4kRNDSXuMLCb/zcjg4UbjdcdRWcf77IiP/44yIBYGdl7ynxhIe0JoIAzvSE+Pz0k/jbXFIEDUVRfDVTEnIbJS3wusNZ998dTlEUn0vcXnFBmiWoqXggjf0RQQ2TIgDodDpCPHGbmgjSLEHtiQfSGD16NAA7dnwP5KDXGzn1VJFJtKTE1/fJyT7v2BlN1EW1Wo/GYAjD6SylsnJ5u9shaRohgFzo3CZMH88W6RQjI8XsxaRJ1M14g/LyxZSXL6a2Ns27n9tdj92eS1DQcMBNevrT3u3EtjuaO+VBRb9+7zJkyCwCAnq1a7/IyNOJjDyrzfXcJPtOU/FAGlIESQ44ZWV/snRpD/75J4Jlm2Nh9tnw09n8uyyKioolhE4IpZxyAIqL7+Kf9Sn8Mxv++VnH8u1HUVOztekDH3usyGVbW0vozJm89957APzvf/9j5aFm6+xGOJ2VXvezQEs/b2xPWPzpgA6bbTt1dVmoqpvw8FOIjj7X/zX2fqKXQPjMXX6OvRERJ2GxiPLQ7Z359W3f3luNzrN/C3FMnYTTWYHbLQbA+2IJAggLOw6zOQWXq7JL/PTfeAO+/FLUb7jlFjjySKishHPP9XnEdiSan3hUVDnQvDscwBlngF4v2rFnT/PpsRtiNvcQb2IKsWfuZQnqQHc48LnE7R0X1BZLUO/evQHaXGNtzRr44gsxX7G3JQhoFBe0L5nhNI444ggAryiPjx9GZGS+57j+19qSS5xOZyA8XMRpSZe4jqOuLgMAS65LOAO/9hpkZMBll1Eb6uSGn+9i8OBjueiiY9m8+b/e/ZzOMtatO5aaGpF3Pi/vfdatO9b7ysz8b+OTHUYMGvQ1Q4f+1GpdpcMduz2PgoIZZGa+RHr602Rnv05+/hfe71VH0FRmOI0jjxR/M9vnMd/lSBF0CFNc/BN2exZOZxkudxlYqyCkCqezDFV1EnqsTwSFhNTgpAqnFZzBbmy2nZSVzW/6wIriswa9/TZnnX46l112GW63m6uuukq6xbVCXt4n5OZ+1OSrpGSO37b5+Z9TUbGkmSO1Dy2o1miMxVjhEv5QgDE6lZAQMQu8ffsNLFyoZ8+eJupKxMdDv35iv8WL/VZpNSvaK0o0EdReS5Dm0lFRsRibrf2z6vuDZgXS60PR6wP26RiKoiMu7koACgoOrEtccTG8+mohAQFVvP46vPOO+HcedxxUVQlLjPYw6yh8bhKtW4IiInyWhu+/b75QakMsFo8Iii2gLtN/wN5ZIsi2y/8+19GWoJdegtGj4ZVXFvD552fwzz/i3tCUCNLSZGtCbF9EUGxsrC9BDtCr12iCgkQCkJISUVhb48ILhYBeuxa2NjFXpsUFlZbOabxS0giXy8XMmTOZMmUKP//8szfBRkO02m7mPJcwx910EwQFoX7+OXf0SGH6V5CbK8KE7rlnQYP/l56AgP4ijsiDxdLLs6w/JlMTI9aDDFVVcbsb94mkddxuOzt33smyZT3YuvVSdu9+gPT0J0hLu5tt265i+fK+5OS81yHnaskSNGqUEEBaxMWhQsc8NSRdgqqKm0ZCwq2EFl7D1su2YuphYvjvI7BYemA5Ued1h0uc/Q4jti7BOHs6u17uTWn0LjRXpSa5/HJ48EExVfvrr7z55pssWLCAbdu28dhjj/Hyyy8fgCs8NNmx42ZUtXFle4Dw8JOIjPTFx2zbdjWg4+ijczCb9+9hpcWxmM1JomiLOCEYDISHn0hV1Urvg7bZxAPHHQc7doh6QWed1WCFJmLaGwPQPnc4VVXJzn6drKyXAJGlbdOm8xg9ejU63YG5XWkCbH9nFmNjryIj4xmPn37uPrvWtQe328H8+Tfy2WfTcDjMDBnyEXAFZjPMmiVcFnbuFHE5P/8MAwd2zHk1URUW1nJ2OI2LLoIFC0Td5smXt24JslhSxJuYQuyr/S1BjuKW3enaS2B/4VZTu7VW+A8+8AAMHUqBZ1KhrTFBDkc5en0QOl3jdn31lTis2VzL00+fT3BwOfPn/wb43OGARmmy98cSBHDkkUd66xj17z+YkJByQAzSS0pKvMeNjIRJk+DXX4U16Kmn/I8TEXEqoFBdvQ67Pafbz8K3hM1m4/zzz2fuXJ87cs+ePXnggQe46aab0OnEBJN2b7YUAFdfDSYTbrebhx5+mE/WZqAocPkk+OF3hSVLdvP9999z0UUXYTJFMWbMNgDWrp1IRcVCEhNvJzn5nibasocdO27B7bbRu/dLWK1Hdfj1FhXNorj4R79l8fE3EhYmggGrqtaSnf2q33pVdVBYOAPQM25cUbMp9iX+qKqbLVsme/s7OHgUQUGD0OksOJ1V1NXtpqpqJTt33oLRGElMzEX7db6WRJDJJLT7oYa0BB3C9OnzCuPHV9K798sYqntBVg9MNX0IChqAXh+II9hBPZ6McfN6kjtjNEFZYAgW3+AW0/cGBsINItiS//6XiPBwPvjgAwDee+897K1krOnOREaeRWTk2U2+rNajm9jDjcPRRFGOduJL6xwPeeI9nqyAoaFi6l0TSi2KIGhUNDUoaBDh4T63uLYSF3cNY8dm0bfvO61u63Y72LbtanbtugefQNdRU7OBkpKf2nXe/aGjRFBgYF+s1mMA9wFL8LB79xTi4qYBYDTa2bHjem9Gv4gImDMHevaEXbtgxAi4/37hcbO/aA9HbVDdkiUIRKySTicyCRXtat0S5HWHiy1oFBOkpcw2RneQCBroEUGbq2HyZFi9GqZNI3e5iH9JTGz+e6G5w+Xm5rJgQQwrVgzAbs/z22bbNrj+evH+6afnezPq1deL+3FgYOvucPsSEwRCBGkMHhyDwQBWq7gX7J3Wu6FL3N6PCpMpmpAQMYAuLj5wv81Dkbvuuou5c+cSEBDApZdeSlRUFOnp6dx666289NJL3u3s5SJ2x1wEXH45+fn5nH766d5t7r0X7pps4j7PP+O1115rdK7o6PMBKCr6vtE6VVXZvPkiysp+p6JiEevXn+IXW9RR7NhxMwUFX/i96up8llG7PbvReiGAQKeztDu2599/k1i40ERNzeYOvY5Dgby8Dyku/hFFMTF06K8cccRqBg78gv79P2Tw4BmMGrWcxMS7ANix46ZG96L20pIIOlSRlqBDGJ3OjE4nUnS4qoS7hN6qR1VVqqpWkJtrAiDQEkhAXQCFxcPpTSQDUt5jwICBXhenZrn7bhFVvXQp/PwzZ5x1FnFxceTn57NkyRJOOOGEzry8Q4qNG8+lrm43/ft/zJAhjR9AzWE0xuBwFNIRmW00EWQyxUOOJ0OQZ8BmtYqoRZdLq6XQighas0YEkXhmopOS7iQp6c52t0mvD0KvD2p1O5erls2bL6S09DdAT3T0RRQVzcBi6UVdXRr5+Z96H/CdTX19x4ggEAkSKiv/JT//M5KT7293Rq/2UFubRlbWCygKvP76Vzz++PtUVi4kJ+dNevd+CbcbampEodIbboDffoOXXxav/v2FKOrVC5KShAExLEy4rQW1/u/zWoICAzV3uLAWt4+NhQkThNZO3+gknJYtOV53uJhC6vPqcdW40AfpcTvcOMs8hVZjOkYEBQ0UF2zbXYdbLffOFObtETXXEhKat+hFRERgtVqprKwkN9eBybSbvLyP6Nnzce82Dz8MdXUi8df55y8nKwvM5p7ego9VVc2LoP1xhwO47LLLePTRl3C7kxk6VLj9RUaaqayso6CggCENEuacfbaYC0tLEzW2G+gnAGJiLqKqajn5+Z+QmHjLPrXncOeXX37hww8/RFEUfvrpJ0466SRsNhsvvvgiU6ZM4ZFHHqFv376cf/751GWthhAwB/ZkZVUVZx9/PPn5+VgsFp5//v8YMeJNFKU3N7GVZ4B///2XXbt2eYU3iPT8aWl3UVn5L3Z7LrW1O9iw4VQCAwfQp88rVFevRlFMBAT0orZ2G2lpdzJsWMe6NLpcogBYjx4PYzRGAnjdsUFMqPXu/b8m97Vax3rHNG1FVetRVUeXxI8eCFwuG9nZr+Fw+KcADwjoS0bGMwD06vU85eULGoU46HSBJCXdTUXFYqqr15CWdg+DBzeR7aSNaAWU93EO5qBEWoIOE7TscPoQPTk5b7NmzViWLBFpemPjY7GONgE6CvUnoes3EJ3O0LoISkiAu8QsAg89hOJwMHHiRACWL5dZgRpis22npmYjLldNu/bz/Q/2/wauzfKYTAmNRJDRGO7LsAXND8aTkqB3b5Fe7J9/9rtNbUFVXWzZchmlpb+h0wUwdOhsIiJOAnxCpKxs/gHLsqZZgkymREpKhLXC0bR3Y6tER1+MTmehtnZzh8V+NUdOzpsoiovly0+lT59LSU4Wv93Cwm9QVTf33y+ETkCAcHP65RevoZDt2+Gbb+D550WpsMsug9NPF/WTrVYhjsaOhaefbroYnjZDaDa3HhOkoWUTqswWnduSO5w3riG0AnQuaneIgZbmCoeuZUtSezAlmESmOVUhjVh+OPtsHEYjOR7rt7fmWhMoikKvXsJaqhljy8t9VtXCQl9WvNdeg9paMXudlHQHNTVi0qq01Gdlby4mqKW4pKYoX/QmOz8aRt28M7nsvDuBZQQt/AIQghdg3e/3sOOjYd5X7oxhPH6dmPj46qvGx4yNvRpFMVFVtYqqqjXtak9rqKqL8vLFlJb+3iFW8q7A4XBw3333AXDfffdx0kninhYQEMATTzzBDTfcgNvt5pJLLmHZsmXYa9IBKO1zHGeccQb5+fkMHjyYVatWce21lxAWNpGQ+ONIuPhijvecY/Zs/6QrFkuSZ8JLpbj4BxRFQVXtqKqdwsJvAGGdHzJkNopipLT0Nyor/VNQ7z/iWRYf/38kJ99HcvJ9omSDh4CA3t7le79CQ8ftw/m0Z9nhmSK7uPgH9ux5hOzsV/1eOTnvUF+fi9ncg8TE28jOfqPRNpmZz5KT8wb9+38EKBQVfUNl5Yr9aIv4GxXVMdd2MCAtQYcwixY9xbPPfoLLFY0rJ5haajGtMeG6eAP9+0Pv3sIEHRMTw39y7qYaBSM1hJx1FpGRkbz88sutP0wffBA++khExz7/PKNGjWLGjBmsWdOxD71DHc21sFVhuRfOOjfo4PlL1lCRUyWy8nkGPpE1mUwNf8277Ysrjyezyucr3bOnyr0zx3lrq/jSOsdDjic6sYHrjtV6NLW12zyfWmjncccJf6mFC8VIeD8oK/uTkpJfCAkZQ2zs5Ca32bXrAUpKZqMoJoYNm0tY2LE4HGWeWcFg1q0bj92eTUXFYiIiTtmv9rQFTQQtX57IVVeJGjijRonuaBCu0SaMxjBiY68gL+8jMjOfIyyscwLJVVWlsFBYIH/88XbeegsiIk5DpwvCbs+ipmYzW7cOBWDmTPi//xNZ2i6/XKRBttmgvl6IPadTaGAt7rqqSrz27BH1Gz/6CH7/HQb4NLXXEmQwlHv+ti6CtFJl9W1IjGA0RgE60LkhtILabbWEjAzxucJFGlF0HWNlUxSFwP4WKlZWcRal7PjpJybHxVHiucimLEFlZX+Tk/MGAJGR4vujzUNUVCyivHwxYWETmD8fBgxYyv/938vExl5LWpoQQcHBw6mvTwJ243SW43KJDHoNY4KqqtZ6avxAYKC/61pr7Mj5D7V9hLg6anwoX37/JKZtC7EdD2FhwmV6d81Gcvv473ekMxN4g2++dvG//+nRNwjtM5miiI4+n8LCGeTmfkD//r7ga7fbQWXlMlTVv7CtRnDwCK+VwG7PaXBfAtCTnv4kFRWLvJ8DA0dSVFRNXNxF6HSmdl17V/Hhhx+yY8cOoqOjefzxx/3WKYrCu+++S3FxMT/++COP3nsvUx4Vbp5vb66hqKiI4cOH888//xAcHIyqqoT9/Cm2NBtb6yoYTTF/8hc/vPgdl4ZeSvz1Qpi7bC7c8yfAUctIX/Q5wWvuhDPAZaunzC0Kc0VGnkVgYD9iYi6hoOBLcnPfxmr91K99qqpyySWX8Ntvv2EwNB4mDhw4kBUrfIPp0aNHs2OHcOdzu+1MmhTK11+37//krHBSsaTCq2UsqRaCBgV5r6v8r/Im91MD8DzODk8RVF8vJj4CAwcRGanF6brIzf0IgJSUR9DpzCQn3++XvbWy8l8qKhbjclUREjKS2NgrKSj4nF277mfEiIX75JWgiaDIyP26pIMKKYIOYT76aDrz5mUADZz688RLKzEAQgT9tvJXnLhFXPtc8eAdNCiARx75sOWThIXBm2/CpZfCM88w8u23AVi7dm1HX84hjnYDbt+NpbJcJTgCvt0xgrS0kbDety41MpSpJb4A0m+5jNUc4dtgPYyfW8zYM8W0jJ87XK4nCHcvEZSfrz3sWmjnxInwySd+cUHp6VPJynqFxMTb6NXrubZfX+UKsrNfIy7uuiZFUE7OO2RnvwLAgAHTCAsTsUtGY7g3ODYi4lTy8j6itHTuARFBmpicNi0RLYnTmjUwZQr8r2kvjhZJTn6QvLxPKC39jaqq1X6uIR1FdfV6HI4cbLZAyspOZNQoUBQLoaFHU1Y2n4qKxaiqEEGmBmOTl14Sr6Zwu4XV59RTxfXfdpuwHu3eDSecIL4effuKbbOyQK93oNMJC01r7nDgC6I11LaeGEFR9BiNUcJ1NKKU2m3iPPX5YpDdUa5wGkHWclaxmx2I88zwCKBQnY6IiIhG29vtWRQX/wD4Zkk1S5CqOqit3UZY2AT++gv69VvDiBHfk5a20Zv5MDBwoCgICwQH17BiBRx9tL87XFraPZSViUFOefnD1NWd6ksY0QpOs+jjuB39eeH36wAwnDgU+NszEZaHq3ggKXv8p3j1vy0lnFLyCiJYuFD83xsSH38ThYUzKCj4kl69nvf+ZnfvfoDs7Neabc+wYXOJiNDSbP/Gjh3/12gbRTFjsaRgs+3AaFzFjh1XkJ7+AImJd5CYeDsGQztnJDoQu93OJ598gqIo3Hzzzd7l7733HsXFxdjtdl55RdzXxowZwxtvvEFoaCh3aFlXAYPBwGuvvcbs2bP5a+lS/q8Kgtzw+bciQcZLL73kTZJRtaqK9CfSvfsO4ArgL1YUrKFgUYFXBKkOlepXRsEMcMSsomxRFpwB9SUVqBElKIqBsLDjYMMG4peEUDAQirO/wf1Lf3SqT+HWnHQSv/32G3V1/vF3GrW1tY0+a3WuAObNc7bbnXjT+Zv8hE7S3Un0eVWockeJg41nNpPb/zsXRIGzygFd95XoNFwu0a+hoePo3VukO8/IeBaXqxyTKYG4uGsA6NXrWb/9iopmYTLFERwsnjepqc9QVPQtFRWLKSubT0TEyc2ec+vWrYSHhxPnyYWdnZ3N2rVryfWEFG/c6O8RMHLkSJKSkjrgag88UgQdwoSGGklJgXHjjmFE2bmU/FaC9bw6Kvu9TkwMbPbECcbExPDRiJHsXHM0ToJYeMRnLFuVz8aNvhF3RUUF27Zta/pEPXvSY9Ik4n//nZGvvw6IOhhVVVXeYn6SfRNBJkXMZI+N2Mqlx5QKk4PHPyW8ogwCH/Jue8PaLE6vEu5G760fS1FNENUW36DF5w7XICaoway1LymDjoAAnx95I7S4oFWrhAkgJAS3247LVen19247zWeHKymZw86dYlCQmvqMt2L93thmDoJxkLv8F8ovusxvnWJSGL3cJyp23r2Tyn8rSXkshaiz981mr1mC0tMTCQoSgeFnny3C4+6/v+kaCS0RGNiHmJhLKSyczp49TzJsWMcUgK2uXsOGDZ7/lSdrn9lcx9tvh7FoEaSkPEpo6HjKyuZTUvIr999/LxdcMBBFWQpYWj2+TieSKRiN4HIJbfz442IgvHEjnHiiSL2dlCSEUVBQpXdfvd7a6vE1fW6ub90SBGAyxQoRFF7mFUFaLR+twGlHEWTbzEYaB40PcLtRams9mbuc2EvLqc9UMVqG0bfvu4Ao+ggbKMwLRYcLN9W4skOoKqiiZBnUB4oLF8Ux3YDCnj2PU1Mj3D2josqZNy+H8PAnqasTxY+zsuaRn5+FNiYNDi5j5847GTq0bTWoVL24P0X0m8rcuZcAoBvXH4r+JilpEJCHPXAMqdf6WwTImMKFmbv4cF0EX33VWASFhR1HUNBQamo2kpv7HikpDwNgdg/AUjeKOssaTHUD2Jv6TD1EgMtVQ3n+ChS3BVXnG3BbLP0YNuxXAgP7UFGxiaVLnyIk5B/q63PZs+dhcnPfpnfvV4iOvrBT4+ya4+uvv+bWW28lMTHRTwS9+eabbNmyxW/bX375hV9++YWUlBQ/EQSQkpLCxIkTWbBgAX/8AUbFSE1NDcOGDfO6z4HP7dOUaCLp7iRSV5cTOyOAAmykD0xnBCMA0Jl19Lr/GHJqhmMPWk/Q5J3UAKpR/F6Ki4/mgQdCYKMCf/Vi0sxgCK/mprnpVNSu4erilZyxEzJfm8fNN1djNs/k2mtHYDT6/zb3/jxv3jwcDgdZWVlMnDix5aRLzaDV/wocEIg+RI+5hy82SGfUEXJk02ONaqMOFVA6dh6kw3E4SsnOfpXw8EneTHm1tTvIyXnTbzu3243Fks7u3fOIiTmfxMTbiYm5CJ1OWMWqqzeQnj4VgF69Xmg2hio6+ny/OFqLJZn4+JvIyXmd9PQphIef1ORvJycnhyFDhjB9+nQmTxYTlwsXLuSKK67wbnPbbf77TJ8+ncsu8382HypIEXQIc9NN/bnggs307XsF1U+fQB55xJywg0JPbKsW0hETE8PVFeVsIYxCTqSkx08sW5VPeblvQLt69WpOPPHEZs/1vyef5L7Vq4ncsoWYwEAKa2vZtm2bX7ah7owWlNled7gjfu2Junkdn95di+HSvfu/J/C899PNDdb8OAyKNvqyNqmqm/p6rfhLJP/ZtIkQ4KGEBLSJ/6KiQJYuDWD0aBtBQUNolh49RAqx9HT491+YNKmBiOmYYqnV1evZsuUSwE1c3LX06PHIXus3Ulw8C4slFfey4TAO3Ik7qd6TDRVh3u0Us/9NvPj7YuzZdnLezNknEeR2O6ivF65GRUWJ9Osn6uocfbTID/Lyy81bTlqiZ8/HKSr6htLSXykpmUtk5KntP8heqKqKqvpnadTp3IAdVRUp9DUf+5qazRgMdvr2XUd+/hZgVJvPo7lAuVzCyjF/vkiYsH07nHQSfPaZcKWLiyv3tCGwybTQe6Pp82C1dUsQCBFUU7MRwsuo2Shi77RMcZaU/RNB338vtH9UFKCqZG1LIwuRsthoDMDhEAJFYQiv/yeXy58Kw6KsYP22cZAfi/WtOYz6R/xCU1J+ADaQtUXBvS0RBmxn171psGQ1dwE7LZGAucH/TiU//xNqa0UsUUxMKVu2lJGf/zEuz8+ntDSLMlHtALMZAgP1lJT8RGnpfMLDT8DprMRoDGv2+tTQYKCS2mgx+aHTgaqWeM4nXKL3zg4HkHldEJdN/I1vzunF999H8vbb4vwaiqKQnPwftm27ipycN0hOvhedzkzNi8dR93F/AJpyiHN8EMtu62Pk5LwlkrXogHoj1ARBeDlxzkcJDBRWgMDA/tjtl3P88Z9SVjaT9PSp1NXtYcuWi4mMPId+/d4VLsD7wKpVq7jiiiu8iScaMnfuXIYPHw7AW2+9xbPP+mbaNatHjjbZ5OGiiy4iLS2NGTNm4HK5OOWUU+jZsycAkZGRqKpKWeFC6ipzvHWtzj8pkQUL4McfQfFMpl176Vhyd3gySipQlbAU/Z8zCFJPpseJM6AyjInf2vnGDZty/uRczgWECOpxfw/IvIzdu9fjHuApbm4SImr27JP54guAocBQDEu3cvrpn2DqH8B3OYP4btJKnikdSXxJH157TU/Pnqfy9NOBjUTP3mj1p7RB9b6IIG2f/h/3J/QYf3daU6yJ0SuatqAvXWrGbhfXfjCTn/8ZGRnP4HbXeUWQ3Z5NTs5bjbY1m4UlOTCwF+HhJ3p/26qqektwREWdS2zs5e1qQ48eD5Cb+x6Vlf9SVvanN/a2ITk5Objdbm677TavCIqMjGTUqDFoURBHHSXKSWpEHsL+cVIEdTA6XTbV1WsxGBrfNBTFQHDwUO/n2toduFw1LFy4gqef/oD6ejcvvfSSdwZo7ty5PPzww82e67rrzAwdKmbZtcQI7lDhP2o2J1Feng1AjNUKu3YRxhoKOZFjU+P4u89WJk0a5D2WxWLx3qybwpqYCB98AOefz8DaWgpBiiA/9s0SFLEnApYBd7YhBVcDFJcDMILdDpg9mWNcgMJHb3zJ/zwFbc2//caDRx5JQUEBo0cfQVmZjWHD4KeflhESMrL5E0ycCNOmCZ+nSZPQ6gQ19DluC00VS7Xbc9iw4QxcrmrCwk6gX7/3Gs1I1dRsIj19CmFhJ9LnyVlsqRxMnW4zPWaWEuY+1rfhXs+9uGvjyHg6A1dNe+sZCUR1bTdul4Vjyx2YU1woip7HHhMxNO++Cw891H6f6MDA/iQm3kF29qukpd1NWNg6amu3UVLyC9p3JyCgl99DLTPzBdzuxkNIu70ARRlGYODxjB0r0l8vX34UqprPc899y8yZYzGZwGCwepNJ2O0+l1lFUYVzd4O6JY0YNswbtGNAfNc018CYGJ8QSkuDcZ5Y5pEj25YZTsNigfAwlaDythU7NRo98YvhZdTOr8VZ6cS2Q1yfJdVCRoZoi+ayAfDqq77cLkuWiIx0e6ON1zZs8IigTZtYUBpNNksB0Dsew8GLQAXLeIVlHw1iwg2QEuBJguIwYor2+RjGxJQDkFdVjVo+HIXt6PuWoOw2kZcHZXVBDBo0h6KiDygq+gazOYWEhBtxOmcBe4iMrOTPP2NITX2W1NQtwHTs9hDKyqrE5YcrJCbeRk7OG2zefB4mUzw2206ioy9kwIDPmkwxrOpVcEGtEgaI2DansxSAuDihRpsSQRkZzwIV9O07mdWrI5k7F845x3+bmJjJ7NnziCf18ZfEx19P4m2JmJPMlP5aijnFf6baEbOJzD5X4Mj0ZGHU9UK/+FwsW8+l9Og7ILwcV0XjTCQ6nYm4uKuJjr6YzMz/kpn5PCUls1m5ciF9+rxGbOxV7bYK/fzzz2zfvr3JdQ0LmtbU1JDfRIXhb775xu/zlClTuOSSS3C5XEyYMIG5c+f6temt5x/mven/ZexY0CbW+46GYJOB0lIn4CQ6IIjBoz9gZ94He3UAGKI9X1arlXGDB/PNxo0s+e23Ru2Kjr6Q3bsfxBawSSwwimsZNOhkHvI5F1Bj7AfAmInT2ZJ2FX/Xw+MR63jYWQyk4iyqA9qeslq7Vre7jvr6IkymdmQx3LdHKKGh46mvL0SvP7h94Vwu8fstK1vgXWax9CQl5bG9tnORlpZGnz59vFldNaqqVlNZuRRFMdO37zutft+FsFS9k7NmcwIJCTeRk/OGxxp0YqNjaGJUi0cEOPXUU+nR41QGDxbeAYdTXiwpgjqYwMBXWL++6WrhRmMs48b5bqTbt99ARcViXn0VtBjDhjNS5eXlrFu3rtlzVVaKWaqGIsgVLB5koaHHUl4uUvpE1Qg3lfC4PMiHZF0gH34IqanDvcc65phj2ONJAdscTz/9NJ8GBxPrmQXbupfZvztjMsXjdtvbnd6zWjVQPsaCVcmhdQciHz+6z6GeXSS53wFO9LrCGY3RzPrOl6L7zQ8+4P5HH+Wpp56izDOVvGEDvPXWl7z0UgtpbY87Toigv/4CfCJm30WQuAk7nZVs3Hgm9fU5BAYOZPDg75sMdK7ZWAsGqF5XifUaK1FpJ5OdvRlH8goi+l/X7Pmsx4hedNv2LdteXd0u0d7MOO5Wd5G9qwYYwGmnwciRsHatcIt78sn2H7tnzycpKPgKm207e/Y8SmnpXGprfb+h8PBT/ESQ8PuuavJYViu4XGcQFJSM3Z6LqubjcukwmU7DavUNBvR6K0ZjNA5HEdXVcQQH5wtr0e7dcOWVzTd2yhSvCNLX1QBhuHZnACIGJSkJ/vxTpHneJbqMU09te2Y4jcRoN/pyT1utLRfUNZmECNKnVOFSoWp1FVWrRP+EjAph3jKfF2hztDRBvWSJyEvC9OkMYjuvIw52wcgR1KRspHbnSqI3F6BG/kZk5GlkbLGDFVSXiSE/+CyrYWE56HRQ73ZiGNcHl2shCY+ZKbvtGC4+UljAHoiBuro1FBV9Q2joOFJSHsHhmCeuJcRJZqaBhIRH6Nv3b2A6NTU6ryUoOXkkKSmPk58/DZerEpttJwBFRTNxuWoYMuSnRoWF4+NvwOWqobIyzHOOhiJIzOI3NchXVDFAOmPADlav7sdXnzs45xz/CT6dzkhS0t3s2nU/mZkvEBt7FebBdhIGWejx+CD0+gDvtjU121iz5mZcrgoCAvrQq9eLREWdg3KsuD8seTkZR3o5SlTzk0J6fQCpqVOJjr6Qbduupbp6Ndu2XUNh4XcMGjS9Xd8/TehcdtllPPDAA37r+moBb8C1117Lqaf6W2+rqqwEBKRSWytSiQO89943fPvtt+j1em666TXWrPEfYO7eso3NmyE51kBYmEeRr1vH/x0Tzqt/i3HDzb0nYdzkexYrRoXQ8aHodGa/MgXjL7oINm5kaXo6LpcLfYOsFQEBvYiIOI3S0t+oqwvAYrGh14dyww2l2Gyi0HlGeQYfrn4btwo9oov4eLSZ5zZcxsfrv+KnghcICcnB5goG2p7MpUePHvz6q5hoae+zIs+RRxZZjFTE5JzdbufTTz9tdvu+ffty4oknEr70Fdx1bow9Y9qj1w44mreI1TrGuywgoBepqU/7bedwONi8eQ4pKac3ssAVF4tne3T0ea1aP7OyXmHXrvuIibmcQYO+9C7v0eNBcnPfp7JyCeXlfxEe7u+B4kvytJeXxWGYGQ6kCOpw3O5QAgKariNhNEbv9TkKkykBlysPULnujCMYP368d/1xQUH8/sQTzZ5Ld5TInqMoBq8IqjcJ609w8HDKy2cAbsKq0gEIODIJy2YLdS7NZN2+gWJJSQl7qqvppdeDy8VWzwBZAqNGtT+dtMtVx5wbM4iJqwP+Q9SmpfTt+zZmc+tBJ6nmXGAHeAKetaQIbncsy7VgMIRp+8033/QWuj3rrFh+/rmAadOW8/zzziYz/wBidAtCnRcW7rMI8qX+1uN229m06Xyqq9dhNMYwdOivzbrwqPWAAVSPP1BY2IlkZ79GefmfLZ5NHyDa6bLtmyXIZvOIoFzxG07amM+qUdXEXBbDI9dFc9EdAbzxhogNakv9nIYYDKH07/8RmzadRXb2K16LSXT0RRgMEQQFDfLbPi7uOtzuxoHJanYW7tk7CXjzTtDpqBxYAidAevpgRowIhqlTYZOYAVaAoLMVypPB4AmwDVbLwZrs+x83Ra9evnZv2wyMw1ni7zKUmgrr1gl3OJMJzj67nK1b2yeCksLF91dVQB/UmggSxSkMvapwAfnT8kVMkB5CRofg9ozVxo0T7m0gBvsaRx7py2K3N0ajmOHE6YSvvuJcspisGEGFm4+3Mv7lZBw7bBj790etNKIkVrD1bwchVnDX+wYqLlcdLlcu8Z6wvNxcPbGxItmGZmgZba1i5YhtuK5aB6OE1R7wxgRZLBAenkthYYQ3MUJVVZ1XBGVl5TJ58o3Y7QM56aQ9nHDCCOLj/49ff72CJ574jcDAEQQG9vO/wMxMTunbl4GTDd5+cTiECEpIEG54hYWFuN1udDqfeVUpq4BQOOOfB3iKM/l5loOqX5cScsaxfoePj7+RzMwXsNl2kp//CUVF31NW9gcDB37pFfb19cVs3HgmLlcFVusxDBv2GwaD/9RPwKypOP6tJGTWYFojOHgoo0YtIyvrJdLTp1Ba+ivbt9/I4MHftLqvxh133MFFF11EZGSk16WrKWJiYvwK1P71l4iJA1FLd9Qo2Lx5M/feeysALtdjXHFFY5fTWy4U33d3VSQjRvwlCkYdE4H5rt2kng89e97KWWe93aa2D73uOoKfeIIKl4vNCxcybK+ArZSUxygt/Q2LRXyvIiPPoLh4Fvn5H3u3ubanb/vMzOd4dPxKvtg0k11Vm7BVbSc4uOXf5N4oiuIVhO11DX8p/iX6j+/PlX3E5ExtbS233NL8RN3ll1/OiSeeyK77d+EsdxJ+UjjGsIM5MMh/QnBfqKj4F4Dw8Bbu3V608/jP/Ahr0I3k5Lzp8bY4wU/wuN2aa7+/CCoR3rOHVWY4kCKow6mtfZKJExsr+KYYMmQWAAZ7AFBHv7Q1fimr499/n/hff21yXxVYv2Yi5RVCuTsrxc11Q+Wf9A7S3OHEl1gTQYwcSXh8OHnqvuXV134UUf36wdatbF2/XkytdkFg6qGOqrrZvv1aYuK2ez5DcfEs7PYcRo36t/UbpdbnnlkbTQQVFlpxulyEA1cPHcprGzdyzz33AHDGGWfw5JMqixbNobjYxS+//MK5557b9PETE8WTfc0a+PVXlBP1KIqZhjFBRUXfYDSuo6ioCr3e/1ZiNscTFnZcA9HkYtOmcykv/xO9Pphhw+YQEJDa/PW5PdenE9cnssbpsdnSqKvL9BXP3AtdoI7ZzCZ9x27ibvHdrWu31+KqcqIoCo+feh+KKxCdK4gZ62awvWQrQUeY0Ol0TBhRTlxfUHMT+JdIjtGVUL22muq11UQpu7kroievl6bw4YcKd9/dfPObIyrqTBISbiE3912cznIAevacSlDQwEbb9u37WtNdc83R6JbtBIQFoOp2EQ+zbdtRovbO2wthgc/lIjgGypMhSF+NCzhmSAUMOBnmzWtTm/WKeCi60vaAcxA0EM7Bwb4g2bw8IZL0+raLoIRQjxuvRd+qa4fR6BFBPaqxAwWfC1URdmwYhlCD18oTENB0RXOTqeVK5+Xliyn75zU4KYsqg4X6D4UAdYV+yp4984iKuwJXeDiWsjIqV32OOdLTfw7fvV4kO1BJTtaTk+MiM9PhEUF5XgEWF+aiZlkNOrSivGLwrcWZWCwQFZVLSckQr699WVk9RZ5aifn5+fzwg8hEd+aZ7zB8uBgoBgcvZfHiV4DNnpc/u1evZuqRU4AwP0tQfLwQvE6nk7KyMn//frfo1EER+fTL2cUOZ29mXTCdqzfG+1IDAgZDCCkpj5GWdhfp6VMxVKeCCZwVbogVaZM3b76AurpdWCypDBnyYyMBBBDYLxB3rRuDtW1DE53OQErKw4SFHc/atcdQVPQtNtsLBAT0bNP+cXFx3gxY7WHbNujZczMFBQMxGnWsX7+eE088HputDKt1IEccMQGdbqHfPjt3HoPBY61xOTzXt3Qp2GzYk0wMHVxP/wFjyK7MJj44Hr2uZQFiSExkbEgI86uqWDJtWiMRFBp6DME191AV+Cq1VWZihtxFVdUaQkNr+Tv9b/Kq8rAGBnNyj17YajdgMCQQZU5icv/JLNq5gHTE5ED7aDimaN+4oLCkkKUrlvJ/t/8fx0Qdg9Fo5Pzzmy+QrbniT7dPx46d3mW9CTyITUG+Sef2CUsNt9tBVZWI8fIlOWqelmoQCmvQB1RU/NMoNkizBDWcDAFpCZJ0Jg7xpavr5QvutdnSKTqzCoYI9xNngJOaaBv2UDt2az1OixO14m8Adu9+CF3Yi0APggNFsK3NFURFhRhgWGs88QCjRhGhRpC30GMJcrfPEqT9mCLGjoWtW9llt7Nr7vUYBjWdacxkSiQ+/pp2nqN7kJX1MoWFM7wasqrqU8LD76KqajnFxbOJjj6vxf3fLb6IHC7gqqwA+uETQTk5wrWsL3D9eefx2kaRVtRoNPK///0PVX2O008XGc9ef/2V5kUQwFlnCRH0888oJx1LZOSZxMVd7129Y8eVBAaCpzyEHxERpxEWdhyJibdjNieRk/MWNtsOdLoABg/+odU00arbcwP2iCCDwYrVeiSVlcsoK/ur2e9VRmUGr/GaeBa/13i9osD1L86EaVfDZ9fwO7+zmMXgqRf4d38Db78HO9KH8RhD2bG0nsDVRRR+XUjF4grOLU2nBHj55Z7ceqt/uumG2PPtqE4Vc6K50eC+T59XqanZ7K2DYrdnNymC/PpDVamp2UBx8c+U3LyBmieg98bjSQy+kIqebwDb2bbtKG65BREEc+GF3n2Dwv4FpuMOMAIOsr5xUlAi/mlR50QRcbJI+VyXUUfmS5kNTgrs3MkllZWM5E/ifvoATngZ5sxpsmCSy1XBqlVgtdoYPtx/3aJFoujs3lTkeyzYDYTV0qWiLNmllwpBo6FZ0nUxVVjHWqlcJtx8oy8Qy7Xb2b7OyVQWLSAjeBZcBTk5dfChOL967CdkZEBIyESq+vcnYdkyKnf9hqmnyMymVvvMTXV1wqWpZ89wli0rJiOjmiOPBLs91yuCwiM8998wX/wmiLgTEOcMCyukpAT69xeqzelUvW6HAM88M4XIyFgmNAhyGjPmFu655w3ASc+eU7zug6qqEvnMQ5xXXclMu/jCWq313tS7wcHxhIWFUV5eTkFBgU8ELVyI220G7Kxzv8ib5nyqnflssl+D+8670f32K646F8tSlonzGIbCq/HUx+RRX+aCWKjPd6D2VT2u34vQ660MHfpzk7Eiboeb0Amh1GyuIfOlTCypFgJ6BTTarilCQsYSGDiR2toFFBV9Q0TEgy3GLaSkQJ8+za9vjcDA3/n001P54INK6ut3cPLJJ1NWVkb//vDii1uxWhsHnI8bV8xz1xwFzIZsj9XX401hTzID9dw89wl+yriaHqE9+PK8L5mQ0kQQWwPGjxrF/IUL+WfhQpqymei3X8t1D35HujMbGNNo/R0PX8ugSdexevVItm8vZcIEfxer5hwFmqO0tIQXXhDJVH74oX0Wj73dsIKDg/leM+m2wOfqB9Ti5v+KTiKZgzlD2b4lT9Korl6P223DYAgnMLB/G/Zo3uPHbE70WoP27HnELzZI+z+4XJUsWeKzfvbsCbNmiUmaJUtg8OCZ3pIW+fmfsWvXfwgNHceQIT/s0/V1FVIEHQw4xY9Cl+Sb3bbZ0tg9YBE0zi66FzocjgK44hn4631CAoRFaNGuLd5BQbDTU7Bi5Egi4yIx3HYnzg//D8tHw6BXM4dtgro64accEB5AsNFItcPBv1mfkxzQtOuR1Xp0txFBGzeeRX19EQMHft7YFWUvKitXsmePyIZWUx1FcEgxakkEiUPuIDPzWTIz/0tU1Lktzox/VHIeaxjIuLyV9EMMssAXE9EHGHLuufw3MJBZs2bxwAMPMGDAALZt03P22fDNN/D334vZvHkzgwc343py1lnCtWrePKJDX/LUmPC5a4aGHk9JSTGRkVF7mdPtgMLmzZMpKfkFt1sM7ozGWIYM+ZHQ0LF7n6kRitcS5LuBh4WdSGXlMsrL/2z2ezX0xKGkvZvGyzMfpibxu8bHBVB1WI8OxRqZxPnbzmdobTJppq+YNw9q7eL388X2k9DpoOdIE8ajEkm8JZGsV7LYdd8uriedomwz06fHc+21/sd3VjjZesVWSn4RvgPBo4Pp/VJvwo/3FbnV6cwMGTKLZctScbmq2LJlMn37vk1MzEV+CSRcrhrKyxdSWvobxcU/Ybd7BIqnNMyuI5cQPuY9KlfeDyps3Tqenj2BXv6R60GVR8Ka6aguI3x8DcV/6KFYfF8sPSxeEVRfWE/u27n4E0QyQSQDI4z5sHgN3HmnqCO1F0uWrOM//wFYhMXyOVdddRUARd8XkftoIVVNxJ+P9+QOs3muu+TXEnbdlc+WXQa+KunJ9f/xxdiJgqngcBYz/OuBrB2/FkOIgdgrxWD/0kvhoosan6NVVBW++47g6e+TmAIEB1Ew6ETgJ8JNQTDrFGKvjcVkiid/wAASli0jeGUxddabKfmzmorlF3LSg+JQWt2fPn0SgWL27BHmm/r6PKo84V3BHs2khjctgiwWsFpLKSkBs9lMeHg4ZWVlNKxgcOml59Gr1zC/y+jRow9XXTWe8vK/6d8/ifh4MWHhctWxeOCtLAFqFgrrVnS0x7cOBYMhlLi4OK8IGjTIM0CfOhX3LRbAjrMaTDUOIoA6Ynlo7nHc+ssmkk4YiKPQ4T0Wr98Gzz4GMeLaXvk0gNOqpxIY+CWgZ/DgmQQF+d9v3PVu8j/LJ/O5TOrOehFuXQOfXsu6iacwes1olNDWVe2LL0JExGX067eAgoKvqKh4kJMa6xAvDzwAL7wAv//+O6tWrWLChAkce+yxze+wFyaTsMKmpNzEKaf8TllZGcOHx/PyyyGEhDQ3069n21Yx5Kqs9jwzV61CBewh4v+yokBMWGZWZDLpy0n8c90/jIpvPpPjuPPPh4ULWZKVJSod72W6ybe4PQKoaeKC4wgOHo7JFI+q5jVaP3xYyzGuBQUFLFq0iE2bNpGVlcWOHdtZskSsu/feR3j11bebd7neC0ep+B7Z8+ytbOmPoohBu6o2TqZxMNFcptS2UlkpXOGs1rFtElItWYJAlFDIy/uEqqqVFBf/4E2nrSgKRqMRg0ERJQk8GI3e6h04HP797XbX4XAUeb0bDiWkCDoICCgLAmwEOxJxueooLp5FdvbrjbYzGmMwmxMwGqOIjr6M2Ks/xb1iMUt/MONO3QljlxFoEl/4PzaLqe2gICBcFQ7vycnoFIWkG3uTPiWd9IdyiDkn0RtH0RpafEJ5+Z8MGDiQVRs2UPGji6MeOQeiG8/sWSzCQpST8x7p6VOIjr6Qfv0ap4M8HKiqWk19fV6rdXRcLhtbt16GqjqJirqA4pyVBIeAkpdNUtKdZGe/TFXVCioqFomids2g3fg1NEvQ/N+F/3cPfQAMGcKDI0fy4IMPerdTVZW4OBE3sXixqGvx3ntNmExAuMMlJEBuLpalaSRNut1v9eDBc/j992kkJCRQX59GdfVaqqpWU1u71W87szmFmJhL6NHjAW+V+NYoK6/lyjsgP28jMwK/54ILLiA8/EQ+//xZnn32SxSlab//jz/+mCtvvpK3b/oGe+bn1BfV465zow/Uow/WoxgV3HY3dqcdm9vGqRWnMm7FOJZURzGPN4RLlcvI8ozRJCX5jymS703GUewg8/lM7mcHbz1h5uqrI2joNdBQAKGH6tXVrD9hPYl3JtL7f73RGcXGRmMkY8aksWHDaVRXr2Hr1kvZtetegoNHodMZqavLoKZmM6rqyw6n0wUQHn4ykW+tJvvoHGp71rN69ZGoqo3y8igUZQC6Jp6NItZIAVMt/HYariH96HW8cBvREkkAmBPMpDyeAqWl8NVXUFYGio4M9QpCWY/u/66Bd9fCp5/CHXeITBEN+PXXdd73jz76KBdccAVGo47abbXEbS+iJacjmyeQv3ZnLUm7ikgC0v8OhP/44jS8IshRREDPAMbuHotiVLwCXK/3pfNukeeeg2efFVkQrrpKBDWtWEEEEBEVBXPmsDknB/iJCEcqvHknUccPJmBIGKUDxKxU2Hc7qD1hMVe8o3DMMXCr59BaYg0RVL+etDQxK+F0llFXZwMCsAQAOheECnc0TQRp7nABAWC1lnh98GNjIykrK6O01HcJ69aNITvbd7FjxmzHbE4kOHg05eV/s2PHLezc6UmL18BFqapGWIIiI8XBDIYwFEVPbGws27Zt82WI27RJuFTeHAZA0v8FEHfGEXz7DXz0jIEiHuClsyDArDIy/ghcLigqAve/R3DTn+sYe+JMAOL7fkVgoKiL1afPu34FGt12N/nT8sl4LsNbI0ZJLkbtmYGhlw37Iju77tlFn09aN9ns2QOLF1/AfffdSk3NBoKCNjN0aPNxRZoH3BNP/MyKFW9z6aWPt0sEgZO8PHjvvR8pL7dx1FFH8ccff/hl1GoKvWfI5cIlxPfq1ThCwa1z4FbBgZXtt6/k9jm388fuP7jw2wvZcMsGgk1NZz4be/XV6O+6iwxVJWv2bJIbWIAB4qKT+IzPyMPBmZljmfDpBMpsZVwz4hpeP+11zGZhqY6MPJPU1A9Ztuw8Bg6cxpc/3UHPiM+po67JdNeZmZk88MADfP/9935Z9Bry1lsfYDQGeYvGtoazShzHVbFv8Zz7kpbbj4ICWLZM/F9GjBCmjw4kNvZKQkKOIjCwb+sbN0FlpchWabUe08Y9xMOgudhvkymW5OR7yMh4hj17HiMy8mx0OgPjxo2jvr6e+vpiMcHu4ZFH4Kef4N574brrxHNdIzr6IkJDx6PTHbzuiM0hRdBBwM+jxuPK/ZGcU8NZtqyHJ92xwGo9hpiYi4mOvrBxBWbXF+RVwtQHg+h3hJ1LPIXu6t3w93bhCxAaCvVhiAGLZ7CQ/J9k8j7Ow55hJ+PZDHo90zZzkDbZ73a7GDBsmBBBv0H/YBN8+2Gz+4lZggKvD/rhSdMZVfYmI+NZbLY0TKYE+vf/kK3rxCyfohOB33Fx15Kb+y6ZmS+2KIK8Z3WruN2we3ceViukZ4kHyA+me3hWb2xizkm08/zzhQj64osveP755wkPD2+0JYoiiuR88AF8950nVbaY7c7IeIbi4h8JCSlj69ZGOxIScgQREZOIiDgDq3UMysqVcG/zWd24+WY47TTxfsMG0l76g+xs0V5fys6jEamaHUDTs342WxZr/7yAmt9DcL50TfPn2wtdklA7bjfYHcfidJqafAamPpNK1c46ymYWckP2Zn5+YyTn3C0GKGV/llHySwmKSWHkkpFYelpIfzyd3PdyyXkjh+p11Qz+bjCmGDEQNZliGDlyCVlZL5Cd/Qb19XmUlvrHAJrNKURETCIy8izCw09Arw/EecI35K2ejS51Fi6XcAn79df/o0ePpmcH9fogLJZeYoCeuoeaCceS+lRjMWpONJN6TimceiqUFQufoW+/JfWOO0SCjFN/gvJLhUB67jnxnWjAzp2+B2Z2djaXX76G2bOP4NVbIrjo7aYfNRu+qSRgUYHXEhR+fDhFMVaiCyvB4f/w1kSQy1WNy1WH3rQPtYH+/hsefVS8X74cli+nfBhsnaEQZOjLsJNXgtVK4dq1AMREx0AGVK2oIuzMMCp690Y1mVCKilAK8gF/9yHNEjRw4AhgJrt378HtNqPT2VHVfCAVS4ACEaUeK6cekykal8tFnacSqiaCNNETHW31swINHgx6fR0NvZm134hW/0tVHd6Z2ro68fPS1cOlZ4j7U3i4JoKEFVCLRfWKoLdFcH7A47dQq0/iseqjWfuJ+J7rIhyYSuuox4zNrvBvnm+AHhsLb37yLqMm/IzJZOeYY4QA+uijZ8jI+D9mzICEeJWCrwrY89ge7BlC/JjiTCQ/kEx2qBk7EHa8leJpUPBlAXG3tx6zo6owZ0441113KpGRP2OxfM2GDc+0ul9hobhfVlW1L06jtLSIZ5+F8nIbgwcPZs6cOa0KIAA1IhQjITitYSKXe1ER9v46wE1ZPdx21N30i+zHdxd9x/D3hrOnfA8P/vEgb5/RdLKE4NBQRkREsLq0lH8++4xL9xJBBrOZHvTAqhi5/vfrKVPLGJ06mncveBeLwff7SUy8nby8D7HZZqPTZXBhn+PZUvc5tXY3CzMWcnJfn3j96aefuPzyy72iffjw4RxxxBH07NmToKAA7r33fhRF/E9ee+01rrrqKkaMGNF632jPUF07/Vm94bH7lhEUpxMee0wUgWso6I44QmTAufDCNs6utExw8FC/EintRUuKEBraejyQoPXY7+Tk+8nJeYfa2q0UFHxBfPy1OBzlVFevRqcL8vPa2LVLlA4MCGicFMhojMBojGj7xRxEHNzVpboJNWEVrHkPdsfOxOEowmxOpmfPKYwdm86oUUtISrqrsQBCfLVvAv5aVcp770FWgDDRl9VDdp6YgQwNBUc4frO2xVXfEfDh2zBhEVkvZlGztaZN7YyMDCI5GSIizAwcKGIYtoJIxZTWuLq6hlY48WA3V+8Pvlmo5m/gNTVbycp6EYC+fd/EaAxH9SSp0Cw7SUn3AjpKS+dQXb2x2WMpHtHijIjh2muhtlZYggyejE/bbaP56qsmWwrA8OHQr18YtbW1fPTRR81f2KWXir8zZ0JdHSUlc1i5chj5+Z/idJahqiYCA4cQFXUBPXs+xdChv3DMMYWMHr2C1NSnCQ0dK4RhQYGYRmrulZ7uO2dxMYYtQln1NsVxxhlnAKDXW5g0aRzffgsrVkwhOzu70Wtin55U6Gfh7LsEt06hNthMVWgAtUEm6k16nAYd9SY9ht6BRJ4ZSY+HeqA+k4rt4iyOPFIYB3JyLwCanghUdApDvxxAWXIowbhwP7iRuhwxkNPiaRJuSsB6hBVTlIl+7/ZjyOwh6EP0VCyqYO24td4Cn9o19ez5JEcfncPw4Qvo1+99+vZ9hyFDfmTMmDTGjt1D//7vExV1prf+i3r++WSPvYQhQ+cTF3c96enP8/m0J0jt4cbtbPrlLY571HIIrG76f71pE5xyioiAHT1azIoedRS3ZD5EKOU8821f8q59hDziyJu9grzNpaJMlYecHCHIAgKEyCvctpixlGCy6ki8NdH7SrglgbpJdcTfHE/ASDFwrHSKQUbw8GAqIzyziXuNaUTWObGd01nSqPl//y1qr7Q48awVvDz7bOHWN3IkrovPxh6rUp8SLHKP4xMDcT3EALxyhbg2t9GI6gl4UnYLq0/DCWgtu2Bq6igCAgJwOp2UlAi/ekURroZmCxAp2m82x6Moeq8rHGjucCXebHAJCb6Yo4CAAJYt28kpp+xmzBjfy2QS7dQGWQZDOEcdtYsxY3Zz5JGbyciAPXlQVSPuN1aruE9oA5fERPF8yczMhKoqPBU16ZG1hZqt5SzOimPHDhH/V1BqpB4L2r3ukUeERs7PF1n1c3OjyMzU/LhDqal5nZ9+epR//oFzBlfxR+/VbLtyG/YMO6Z4E31e78OY3WNIvicZd53HqheqEHOZ6LfsF5t359LQ/gfFxSImRBSabctzTYvTaPsgt6CggOee+4D8fCFQ//jjjzYXixxw3PU4qGTsuT+iVZ4sPkoI6UI7KInncsnmzfxeaefjs0UWt3dWvcOCPQuaOyQTjjoKgMX//ttonaVSfI/1ioPlOcsJs4Qx8+KZfgIIIDh4GFFR5wFutmyZjLGX+D7oFPhwrW+C88MPP+Tcc8+lurqaY445hrVr17Ju3To++ugjHnvsMSZPFv2vKDouuugiVFXlxRdfbFPfqG2cSNwbbWt3u2OcEV+c228XvpFOp3gAjB4tqgmvWgWTJ8OQIeIZtb+Wpv2gri7L4w6tJySkcWxXU1gsKUREnE5wcPPulAZDKD16iFqU6elP4HLVUFOzgfXrT2Lbtqv9ttXuRxGHptZpFmkJ6mLKyhaw6dIluExgdFtJHfAycXFXt6ni+js5OX4Z/NeuheRksBMEteIBEBoK9eFAqu+HUFmymHLzdAKOPg/b4mPZcfbfjNhxuu/m89ZbvnyIDbi1Zz0nfw7RoX3YkS5E0DarFSorxSzKu+822U5FEV8zVW3abH54oN2Am55XUFWVnTtvQ1UdREae6XngQJBOjCKjrGJgHBjYh+joCygq+o709CeaDTJUEuIhBz5d0JMff1S5/HIhgqx1uxFevNG8846vIJ9GYOBAgoKGUFOziUsuCePpp8t56623uOeee5r23T72WFEUJjubyrmvszliCm53HaGh40lOnsqSJeWMH39W69kQhw0TFqXm0CpuAvTvT8iEaFi8jZAgOwENouOTk8/Fbv8bnW4OiYn+xXrqsurY/XIW/Aec+gDOco+jrrrpW9y/X8CQsW7y8j7CuflJwnbnY58vjAO5ubsAB6mpRpzOxmnEdWYdY+cPYf6ANSTX21h6/EaOmNGfst/LQIGke5L8to86O4pRK0ax8bSN2NJsrB2/liHz+rK6IBZFMTBuXBEGg5Xw8ImEh09suR+BjCczCPo5iJA1Y4iIGM///gcznEsIn+Zg0bTG2wePDibi2yGUlMyGyd+ilF+PN7BIIztbCKDSUlEOfP58b37pulPPo2qayuovq0j4Mo8c/uAVRz/Kh5j480844QQxAMnLE66gYWFHYbP9Q8n2JbzPSErXJCGi1ARXX301X3zxBeeffz4P9XiFGqDM3rCPFWqppbyukPx8MyaTiYiICI+vehQFBQVkZ28jaK+U2qtXw/TpFiorw7j33iY6rqDAG4jOa6+JHN8AJXNg409+fvaFheJXlNA/ARZD1coqVE+mNHXECFi5krG5y1igd2LICwDGoKqqNzFCYGAf+vbty4YNG8jNDSY6GvR6TxxWsIKhbwVOwGQSqdg1EaTTKZhMKlZriTfhSJ8+PgvDkCFDCA5u3j0sMFC4PjqdZej1gZ50+zbv+mqbuEZNBGmWoD6eLAFpaWnw889QUwN9+xJ38RD6ZhdzifktCGrgkrVuHSz4CyKjOHrsKxx5pHDRGTCggnvumc7nn/cgNjaeO+98njPOGMHq1SrvT8zi1Nw9GCpU7AY9cff2YMiTSegDG/wfvZlL3fR4qAeFXxVS8mMJyqTWikKKv6Wl52GxpFJXt4dVq0YSFDSM8PCTiI+/tskabnvXMWuNsrIyTjnlFPLyiomNha+/PpP4+JbrtTTEb3zvsTauGmkkGqgy92Fqrsiw+G1REZ8NGMzNo2/mvdXvceMvN7L+5vUEGhu7G02YPJnX5s7ln9JSyMoSgwAPJiWTj/gYi1uInndOf4eeYT3JfCmzUUFpi+kh9KP/oZYtbNl5A3X2UCrLLfy440cyyjNYs2ANN910E6qqcuONN/LWW281uu83DK5/5JFH+O677/j222959dVX/TLfNkWwEkwNNRj07RuWKnoFUDFG7sNw9tdf4f33xT/myy/hMk9ihaIiMZ55/XWRCvCcc8Sz8H//E7n294GqqtXYbGkEBQ1pFBfXGhUVItAqOHgEBkPbisJGRp5GZORprW6XmHgbublvU1eXTnr60+Tl9eXRRyEpqYiGtYA1y7QUQZIOo6joB7ZsmcyX39WTtjuMc667F1fvfqRlCd/PccnjvGkytxdvp6DG526yafUm7topnpJmFOyobNsmJjgtuig/EeQIxc8SpGzdBpEQXvY7dv6PirQgNr9SQPAFHreDV2bBHl/B1ySyMeBCPQ+Rdiwz02sJ2lZfjxvQffqpKLDYxI1OUTRXo8PXEtSaO1xp6W+Uly9AUcz06fOmd7ux80NxpecSdpfvztKz51SKir6nuPhHyssX+4rqNUA7zY8/QmhoMSaTiB0pdmizVVEsWyYm9RumtExJeZjIyDNZtWoYxx1XzrvvRpGZmclPP/3UdDpSnQ4uvxz3yy+wVX0at7uOyMgzGTx4FqKETyuF9HbtEqPT5GT4v/9reVuNxETsQ5NhMdRElLF5ycnii6wonqQLUFW1gpqabQQFDUBV3WzacDHlC8pwnS5ScBlSwvjP483f3mJitrF27Q0UFy9h2jSRKEKbSCwpeRnIZs4cB88//wvPPfcc9913n9/+8f2MbL5yGMGfryF8ZzWrR68GIPKMSAJSG2e0ChoQxMh/RrL+5PXUbq1l/aQ18LkbVa33/j7aStl32RjS9FT+nk3kmalkZLS+T0M3DGXvbrHbhctHXp6Y9fztN78CO5ctX8sVVHgTu/aihjDquZdh3gmO/Px8nE4VnQ6s1mPJy/uHYkStouQevt/EmjVr+MJjZZg1axZXX3kTVkyU1etxOkU2qrS6NdzC1TiWOLgnHo4//nj+8ogXozGKa68toLKyuah3Hbm5XwKXNl41a5b4Jx95pE8A0XTAsiaCkgYloQvQ4apyYdvuERMe156A3VvAdQQGRUtTn4/bbQN0WCwp9OvXzyOCTAwfDiaTx1o7IITUm0LYuVOIoM/z8ynyWEIDAy0oio3Q0BLKy8XpBgzwfZ8a1pFrCr0+wOv6WFu7FbM5zu+eVI0YQAUF+VuC/ETQTBHPw8UXk3dbb9I3buLVSQ/SJCW7MH73HmeeJUSQ213Cq6/e5l197rlvobpUXM9v58xc8dv8R4niFWc/HO+YeD4Zbr0VbyybovrqkQUPDSb8lHDK5pVh/tkMeyUhaYhvkt7MgAHT2LDhdGy2ndhsOyku/p7c3PcYPPi7RvEYPhHUuiWopqaGM844gw0bNhAdHczLL1eTmNiEG3ELGGod9KCMrSs/5YV/xAhzwfICUrbBJszA1wybPJkNisJ9u3bxtu40vlr5FWn2NM7cfCZfTfmqUUrvcZ4irpuAspkzCfeURAAory9nOtMJIohz+p/D5CGTAch6KQtHURPP4+T/obz+II7wTPQ6I7//fD+uvo9z/0/389c9f6GqKjfddBPvvvtuk8+6hiJoxIgRHHXUUaxYsYLvvvuO22+/vdH2Dfk85nPqc+sZMWgENTWbAaVR7bSm0M6ps7TTscnlAu2+fv/9PgEEIsb5iSdEps3//ldMmixaJCaILrlEuAM3qKXWFvLyPiY3911SUp4kNbXtIqikBGbNWszAgbBixTiOOMK37s47YefOpvcLCxNZYFtDrw+gT5/X2bTpHLKzX6ag4C7+/Rf69PGPb25NBLlVNx+t+YgLB11IRMCho5SkCOoiSkt/Z8uWS1BVB6s2BLFuRTl/W5+ABl5l1Q9XE2QSzpf/XfJfpq2b5lkBvI8Ydw+GS0vGMi1/qTczWPTcEZy3YBQ/8ANhYVAfpvfWdCidV0rO3xFwAbjDoug5die7lw1j+/27ueL+KOowAP5FUNOveIyUkFLUvhuAJWRb+nNC794YDAZq6urIHj6cHuvXCwvS0/7Vj8Engg5vdzjNEtT4waCqLnbvfgiApKQ7/WpYRO4Ih3+Bu3wP06CggcTH30Be3gds2nQeVusY7PYcQkJG06vX85hMMahOJ9rP97rrhLuIUmGi3JNta+DAaLZuhSVvlpGyOIOgwUGkPp+KIdhAQIC4eev15dxww73897+v8M477zRfk+HKK8lJewFbeA1GfTQDB36JTmfE5WrD//OPP+CWW0QQUhvSnQKQloZznZgIQAdFjvlQ3HizvLwP6dPnZVS3SknZ9zDCty4mPpGnnmr68EVFP7B16xVs3VrLc88pZGaKEdTxHE8/3Wjed78CfONN6Xz//fdTUfErV10lJhISE+8gIKAntzwVwN0bK7j93P+ijy4CBWyDAlm92jegGjz4OywWYXUp5lN0n36Mbnstzjpf37VXBJGVAySibt0NHhF0JUfxy8/+BjXv8fUKdr1vIK0oewUe33OPMIGFh8Ps2X5PuYplFZjSKlEBxaSQfG8y2a9nMtRWSY7pDGKOng1YyPAosehomDlzFEOHQpVuNw63g4gGnkKzZ8/2O/WinfM4kzOpxUBxsQhYz7BtwuGJ+dLpdH71KkymaHQ6YTHZ+7emqiqq+iWRkc0IBS2GqVEKucYuUZoIio2PJWR0CBX/VFC9shqi8LrDscMz+vA0T0sIEhDQC53ORKpHaBUUiHZaLMISFBjoy+b4V42Fu0u2ed2Jg4NFkpyQkFKv+8nw4TrGjoU9e6x8/PHHfPrpp6SlpTXrghUUNMgjgrYQHn6832C1qs7gaWPTlqBdu3bh3rVLXNKFF7Lsn4uxu3YyccJxRMXulfxmxQrIzGRoVlaDcwdx4YUX8v33c1DVWt5Z+BZbfwjipO9Pwq24mXPFHBYOKMA17T9U7xzGHXeIgdpHH8GHmfcysaYMK+B0icmO5HuTKZtXhulPE85KJ8bIln8riiJqio0Zk0ZFxWJstjSys1+lpmY9a9eOY9iwuYSENHQPapsIcjqdXHDBBSxdupTw8HA+++x8AgI+RqcYoDk3rIZZSjzb1Pz7J9E8xvJ1m1msetxiv9EsdaK+03cPPMDZxcVst9l496c5VP4qXDEXzF/AzVU38+P0H/1OExsbS7/ISHaUlLDkm284s4EI2igc1nEYHbxw0gve70LctXG4qv3vA9l2O9trA1BWfsWAk1/AaPydm254nDHl8Oj/ZlJbCoMHD+att95qdrLP7a5t8N7OpZdeyooVK5gxY0arIkgLXSlxzCB95Y0A9OnzJklJLe/3/oujsBXtIHDhc2zY/hA6p4Hogv7EPDTX93+dOhW275WeMi9P+HeGhbHohClsbzKsORR6Pc9l624j6PnH4PPPWfpNBqUz7+H0+wehPPcsTWajaery1Pa7XvL/7P13fFRlt/4Bf/fMZCYzk94LpCcQepEqIFV6ERBBioJgwYJixV6wYlewIEWKIKAUQaRIkd4hJCQhvfc2SSaZut8/7skkofh4znve8zvP+3mWHz7CzG6zy73va61rXRewdm0We/b8yOuvw8GDw1i4EO644w6KioooKxNKba0jHjhIC2/ffxl+fhPw9R1PRcVvlJQ0vaebr7Es/2sQdCjrEI/sfoTXD79O/uJ8VIp/D3jx73GU/38WtbUXSEycjCxb8PefRpHpCFCPh8aDEL8Q53ItB5pgt2Da+7VHtsvkbcrDWGtE8gN5Ath/D4biZjd0KactRrt4QXt6gl1nw4YZJVpkm4zskOTOVnTj7iNPkBBwFl9DI7NVeWxU32xgKb27FMLgpZmTOPkl9OuXysiRLsTGxpKcnEzy+PECBC1fDi++eJOHyN+BoMbGHKqq/sRoTMVmqwUUqFTuKJWeuLqG4eoaiU4Xj4uL13//hP8vhErlBdidmfGWUVKykfr6q6hUXoSFvdTqO/FulJDk1lO66OiPqKk5jtF4jcpKUW2pr79CdfURevY8S9e8Y5xjEgFejTz1VD7Z2dCYKgCQQqGgXz9vspKt6D5KorrRSvXhaiyVFjps7IBSqUetDsZsLmLGjIF88MGnHD58mPLycvxu4YRmbdeWnHkqwErk5R6oBv5zM0xno+k/kUktKxMvq+++o97q6G0ocyf2GxOYzaDRwDPPUO9dQ2HhNxQVfU94+KvkvFoB158ClYTr/W1YuduDsrKJ7NrVevOyLJOXt4z09BfZsgVWrZKwWmWCg4OZfNci1mx+mxR7Gv3738O5c7/g6ir6gq5ehXfeOYzNdpgRI8DffwpabQTh4dD3vlSUfY4592G0A7XN+2xSVAQwmwuoazgPLX1ey/wo3VRO4P2B/5gLL8vi+W2af+XkgBkXIjqBy20S0wp7HLIsIUkyktRcUWb//mYa68aNrbKblfsruTrhKrKjuhj9hJI270chqSBnaS755vEEnDgBw4aRL1Qs8PeH8PA4PD09qampIY88ohXNPmJHjhwBBK0rMTGRs3lnHSBISWmpAEH+o71gLYwcfB9/HN58wy/xY/t2iIn58qbJ0TffiKrCLSyMoLQUjjrMK29oHm9OYNxcCQoICMCtmxs1x2swphhhAMidOoFCQU6Vo5/JIK5bff01oImSBmFh4kIXF4txT6sVlSC9XtwLAGcbHQfbICbCWp1Dta9FT5DVWsT770Nc3ApCQwW/9WJtLUN9fFDe4p7R6ztSUfGb83ha3lcGg91xLK0rQWFhYahUKkwmEwVA25gY6NoVtwQL3mHw5n1Pc9fjk1rv6MgRGDJE9E7U1YGbG4GBgWzduhVX1whMphzkzFqGHBoHwMfjP2Zv9F6haTJjI9ori1H++TEnT4riWvCI3vTudAmP4kBKGsRD5H23N9p2WhpSGyhdV0r4MzfQOB1xY7uGRhNEQIAAu0FBD3L16njq6i5w+fJgOnfe46yu/9NK0OLFi9m3bx86nY7ff/+dsvN6Vi8dQO/6UzxRd4t1dTpBKWyKceNg7176sZgcOuCj8yew/iDp3jL0sOHlApfoRpRnO7w9PHhOq2XB9eskt2nDgw8+yG8nf6PiegWHrx3GYrPgomwNBgcOGMD1nTs5dvEi40wm0GiQZZn3zvwJgMWqp51fs7dM9Ietvf1WFhby8PUmeXyJnkkv8vHvnbE/sRzf2gZMwgqKZ964DW3aET4+nq1yXdOmTeOZZ57hxIkTlJSU/EtKHEorhY3NghYZGc/h5zfhtubYAENW9CL3vmwqejeDnPKoPPIv9qNdux9wc+si6L3Hj996A3ffzfpfdPxda+zYgjbo166Fp5/m+7ElrC0cyV8fDmRg42JRJfpH8d/zCbp+/V0KC+vZu1fLrFl3A6LyXlh4o52BiDZtfHn3XWhs/JwXX3yB+vpoFi78pVn6/jYRE/MFVVV/OgyfW48b9fXNr/LbgaCVFwWKnNph6r8NAIL/gKD/9bBYKkhMnILdbsTb+27i49djrxGTyikevVn9+IFbrvfesPd4b9h7vP3227yR+gY64PFQqCgLICO0HK4I6pPFAt0DKknskAjXwN2tab9lKJVheN3lRcMB0ALVZi0KjYI+q6NJmprELJc8vkwNxrXNrVWXMjLakp0NwcHdAIiPjxcgyNubkbGxoi77ww/w9NOt1nNx8UWjCcdkyiM//0tCQh7Bbm8kLe0JSko28nfqJQCSpKZt2+eIjHznv2009v/r6Ns345af22yNZGW9BkBY2JKbFFRmBr5A9eB6nqyIYUyLz+1VWjq3/YtywzZkbKgUHuSUvkpjYyanjy1kdZlQPfj+sSu4uIgJaL3DRsbHx4fu3ZWkUo5LY3MfVulPpdif/JBq627ncQQGGunevTuXLl1i165dzJt3s4Jbfv4XWHVWtLkQ9MoxGJ/9z+VD/ykI2r1b6G6WCWXE7gE9+Lr0IULUxYR+uxgmTRJ0hKNrkU+dokZ/gvr6BJJ3v0XlR5OAe4jfEE9WcCCrV998eHa7mevXF3Lt2iref1/M20Bm6tSpfP/99+xYeZ3lm19CiY6GhoU8/XQYc+cqcXFRsHTpn/z44wU++khB27aT6Nu3WaTk7rvvYMWKlygtDWfp0jbc2B6gVjcvGxg4y9nUarfYyP84H8PaIFIqUyjbUkb0smh0cf9aYtTuoAxJKoniYoEPlUoIvVk7xRkKhQtWqysuLg1oNI5mE4OhmaL45JPN6nwIpburE64im2RUKiNWqw61QszKQx4PJfe9LAz2TtRuvYD7sGGioR4ICAAXF2+6dOnCsWPHyCCDwdJgABoaGjh9WsymXn75Ze6//34SShOQkTGioqhItI6Fdxa/zy+09T1z9Cjs3u3H2LFw8WI5bVq3XjknwrfEknv2CMTYs2crKpxY7+a+kJYgSBsjqmiNGY0wADHBbd+e/Gtt0AHVIlHvrAQ1UXjCw8WEvahITIbd3MSkRVtupCw7BWKhAl+WRUXx6ZUrFAF2V61jG7UYDGZAjdks1lOrm2+uuxMS6F5ezraOHYnStqZfNoEwo/FmEDR1ykSys9eg0TSBIFFNUqlUREZGkpaWRioIqWVJYuOOasrNMDXqMncxqfU5vesu4Tiani6qbC1Ms3x8Cikqghk1WpSyksaxjcx7bx7zpObxxWWGC911olD8+++Qs2c6uXvaE0Q1Jc/WU1cn6JS+zxrIfy+fgh0F+M43gCShVgegVotUt83WyIwZ6XTvHkjfvjdbNWg0wXTrdoirVydQU3OUhISRdOq0HR+fkXTs+CZ5eQvp3j3ipvWaYuXKlXz11VcAbNiwgb59+/LJL0WsL3kQGSVPcHOvoyHORkXWa9hsRvz87sHL8Xk30tCxmAyrxHz2Ihka2LLYGz+diUd4lC19H8Df1ZX7bTaey8igZMAApj32GB03duT5Rc9jaDSw7OQyXh74cqv9DZgwgVU7d3LcYhGyn8OHszd9L8lVDq6sfHuQl1xfz0IHp2pGQACZDQ2gzoIRB7CmxfHDrznYbNX06QPHG54mLCOMEdEjbrkthULRYpIsERISQs+ePblw4QJDXxtKYXQh4Z7hPN7rceZ1n+ek+wN8dsdnFJUm8WhuLpGR/ri6RlJbe5b8/M+Jibm92sn1WAu2/mVIVhWRpaOwKSzk+/9Fbe05LlzoSdu2LxLx1OMoWiY/amsxvfYONpSoBwymqyRaCW4Xrk1Tom7dWOvAHkUEi56h4cMFyP0X8d/xCaqtvYRev47UVPjtt3A+/FAcyL59+7DcXAJyHKsr7dvDuHE/sWePBUhhxYpOvPLKK7z99tu3TbZptZHExHzO6dOiCqdQNM/LmqpAanVrA+umMNvM/J4mkrUPdH3g5gX+D8d/QND/YsiyTHLyA5hMOWi1MXTsuAWFQo3GkWl1s/39w3H16lXecdDNvgXuaniDa2f7clA6yClOY7ab8X8K/HyyUUtCoUnjmFNZLGW4uoah1CmxOx5ChYPL7jfZD88BntQcryF9UTodt3a8pUylvURkKy0ONSynQlxqquDUPvKIkGZ6/HGnwYosy1RU7MFkEoNxevoisrPfQpatTnlfjSYcjSYUhcIVD49+2Gx1WK2V1NZexGTKw2YzkJv7HrJsJTr6w5YnFNLSkM6dI+rQIRTXrgl1p8BA0YPSpo1ILf8PyFv+d6Ow8BtMplzU6lBCQ5+86fsZk5bgEZGM7fsVML+T8/Mz0Wew1dqAFs7QsS/Dt49iU2whJu4Fel5PZWJvHZkmQUepa6JD+vvTqRPEI85v8PxgLBUWyreXU5dWirVtJVptHJBOQ0MakydP5tKlS/z66683gSCLpYq8vE8AiDjdDkVtKkyZIrLArrcGy63Wr5FJYSnm/XHQ50Kr77wGexH9Zgg8/zwsX85FvkbW6iE8HHOtCx2xEtC3l6Bp7doFAwfC1atI48cTsfsFkrLmUKlfAW16Ej5vAIEzA8lwCCS1ZChYLFUkJU1h377DfPABVFcLla0vv/yShx56SDTch4gHpU5ScOnSUO66ayiO25vVq+1YrXPYuHEjTzyxk3JG0GfaNPp5eNC9+0Dy8gayb59oNXn11dufC52uXSunb/+PZLLdssl9P5eKXRVU7K4gcHYgEa9FoI2+xZvGEc2VIIks4V9M27Y3+STeYv8eWCwN+PtfFh+89Rbk5orqz/vvO5czphlJmpqEbJLxneiL9XA2NYYIp/aHJkiDX7d6yi56ULQH3IHcXHEg/v6iKtoSBDWVOE+ePInZbCY0NJQpU6ag0WioMdVQSCH1dMCBo5xKi4r6etG07Ih3vxhDm76iUnnoUBmRUjadx0eIL3NyyNy+D6ihpLA9ML71j//jD/F/h9Jgy1Cp3NHp4nF1jaCxsZGVK1dSXi74l3v27EGRo6CAAjRnNOi76RkzZgx07Yr9mp3f+I04RH9SE+jQ6cSN01QJKigQ4NHdXVSCXLFRpxTVuEZFEAtDQznm4sIuoMFVh5gk2bHZKpDlIEwm8WCfNzYDZEmh4FJdHf0uXuRot260b6FZ2wTCmipBCoWCtloJs4dMTOwxXn31flQqT2RZqMg1RZcOHUhLS+MKMNwxYTxxwUh6Lgx58Bb2BpIEDz0ES5bAqlWtQFDTBEqqkXCNcmXATwNQedx6urF7t2Bhfv45lB11JQ8t+/bX02aco48tFlgDZuC8YwgRfRVvinPYmIGLS2e6dFHRsWMircZMR6hUHnTpspekpKlUVv7O1avj6dBhM3v2TMJgKMdmu0pFxVVcXHzx8GhufP/jjy9YuFD0jSxZModBg7RUVPyBeyx4eSmR7r4XljcnD0yWEjKK36S0ZhvkiIpGfv6nxH65jFCvdVwc9hduCVBgcoBPhQI/nXifemgjaeMYU3VKJQ8GBfFFQQHfFxUxRuuovsvw1tG3GBc3ji6BzWa5A+8SdgrngIZdu9AMG8qSP5fQ9PBJf6Na+mJmJlZZZqyPDxvj4zHa7Tx0KR26XeHqaRf+OmpBqZR47DGZ8LA63t1/N29q+jMobBChHqH46/zxcvXCXeOOXtlMDcytyeOPjAPkBogH+9rJaxAK1bUNPLz7Aq/kd8PP0gN3NyUdOsDBYyeori7igYegTZtncHPrytWrYykqWk1k5Dsolfqbjt1kKmR74Foat8DcTjMJW7gWgBBTIWlpT1Je/iu5ue9Cz5eIurd5jOOTT7ifn/iVKaywmXhiZhlP3HebE+TqCu7uyDIkJ9mJCrdjyjGzxf8d3Mv0jFj4LKoRI0CjwVxqxlR4a7NXi9HhhSUpaWzMIS/vE2pqjqPTtSM8/HX0+vhWy5vNxSQmTqTJDqK6uvm+vq3BuSP27t3Lnj2Cz63VKmlosLF06VLsdjvvNilk3iKCg+fj6voJkIosm7DbrSgUqlZUuFthqOO5x6kz1xGoD6RnSM+/Pbb/a/EfEPS/GCUl66ms3IMkaejYcZtD8hXa1WvJx0RfXdxt17Xb7Tz88MNYrVbuAWbHx3O6yzBcf7bhG+uLDz4UU0xjCuCdjN1NDBg2R3+z2dzsPSQ7LMslD8f/JYmYz2O42Pci5b+Wk3hPIpHvROLW5QZam0MPV3b4WbR3GAempKSIjMjrrwt1ms2bYfZsZFkmI+NZCgqE8Wtg4GxKS3++yS/IZMpxgqTOewehbDcIhg3jSvY0jMYk3N37Ult7mry8j/D0HIBfY3ehNLZqFRQWogJuq74fFwd//slNaeP/hbBaa8jJEQNOZORbKJU3T2zVNjFZUKbX3vTdTZEWB38OgxEHmXHvR1jf7URqfl9sPmJmUFepBGz4+fkRGQkdHCDIrbcHuihXyreX05jbCG2FURqA0XidyZNf4bXXXuPAgQPU1tbi3qIpPi/vE2y2GnS6ThzruB+V+4tMurgexoyBLVs4erQNhYXSLXGmjw8MTHajgu6ip6e89W/UuDXCHRPgmpisGaQO0CBBCoCoILl2ctDzPD1FNr9PH0hMRDdzD9LkPsg9zqD8bCltJwlzYJsj2dZ0PPX1ySQkjOebbzKaVH/p2rUrmzZtIj4kREgB//EHPZoagBwKhi3nygqFgrVr16JUKlm3bh2vPfYYrFqF29ixrHzgASZNimTfPti37+9B0I0hKSUi34okYFoAmUsyqfitgpIfSyhZX4L/FH/aPtsWjz43e4/ITZUgl2YQdENx45ahUnlhsZRQW3sROT0dyZHdZvlyp/GDrcFG4sRErNVWPPp50PHnjlwJFOfWaDPRaG3EVeVKyKOhlD1cS3FBe/xKysjMFFQUfx8V1WWNxMaLHsRMMp0JlcOHhczvkCFDUKvVxMbGkpiYSAEFGFE5BR58K+KZ3vVxOjd4CIMbwIaCY9QxtoO4Hzw8Kti80kDnJqyTkEDawXXACfKTJ9IKBFmtojcNnF5XLcPHZyS9e4t7sKqqiqeeesr53UsvtaCvFsJdf97FkiVLoEMHDKTyKT/Qx3KZRxiN0Siy6U1At6kSVFFRQ2MjeHk5KkE6qNMLkNXNJwadUknTyG9QuaBU+mCzlQMVWCw6Z5/F01kG56Ek9e7NjJwcrtTXc3dCAgl33IGXAwXrdGJctlhKMZvLUav92PGJAkO8eDji4886gbSLS3PlpKtGwy/AZb1eGCWDU8JfobxNtf6BB8RNf+IEJCfTlDlokiuWJeiwqcNtARCISdWkSTBxokzkyy/w8cYXiG0MZnK1D+gq0apccW1wRTJJSBoJlZfqhgmxkro6OHzYyrFjH+Hm1plRo0Y5308ZGRn89ttvjt8zhJKSAurqrgBT8fDoTf/+Z5wUSm/vEXTtuh+A6upq5s59BqtVZvBgGDFiHVevrgPEa+WBBxbi6joZ/IZhNF4nP/8ziovXOa6XhL+/oOOVlW0hvWAJKzcM50pCHxaRhlplgPtGE3BUVDgacKWLR7OqG8DDISF8UVDAb+Xl3OmoqAfoAyi1lTL558mcW3AOb60AsVFRUQR5eVFcXc3ZHTvIm9+bhJIEtIpODm3AW4OgI1VV/FZRgRL4JCYGSZLQK5U8LLljs8G3P4j9zpo3h449ldSVr+b5dvDU5ZN8kHezJLe7HYYliL/v7BKDrAAcDH9Njoa1A87w5NwwyvO8KQOaZiVnz4KLS6PjGukICXkMlcrDIfKRSWnpzwQH38xSSE9/hrWbLFRVweQvmgdBjSaETp1+oahoFamp88nL+4Q2bZ4W7z1ZhrVrkXlLnJlGI3/XQFM1ZxGru3zOypWQmqpgAkU8Q5rj4B/g8bypLP1wNf6vP0bJxhIyFjtYIT0uwKg/ICYdlDbQGcFP0OOzsl5xquXW1V2ivHwX8fHr8PcX9gySZCApaTQmUx5WawBQ+o97iUpKSpgzZ47z3z17+jNz5hs89thjvPfee3Tu3Jnp06ffcl1JkggOfhh4FpCprNyDn99EHIVxbsGWB3BWgUbHjkbxf5Stc7v4Dwj6XwqzuZT0dNGwGBHxJm5uXZ3fOR1m/qbB7scff+T06dO4A59pXFj2zmgq39vDSEbhIbnjiSfFFIv+8aoqqozixWlvUQlqitojj+K2fCSl7WLBoTLs3tOd9j+2J+XBFJGV3lWBNlaLz2gffMf64jXYC1fPMigCVy/RfOSsBCUni2zJokXCNOLdd+H++8kr+JT8/M8AaNduNcHBc9HpOlJauglJUqDTdURRVArHjoPjeKVP3xS9qi4u2H/0gmBQKd1pE7CQ/NIVpJybwh0PWHBt+jkaDfauXSlSKgmOjERhNIrmqIICAciuXxcv6bVr/+sX7b8QCQnjsNsbiI/fgEYjaCt5eZ9gtVag07UnMPA2JWJH4sw6vnWT80DDzYpwV67A/fe7sXzEQQYM2s7irz6kR3ox4UEXwQ8M+iggDX9/f0JDZNo5mlMaItwJGaoX3Hqr2GETCGpouE6PHvHExsaSlpbGH3/8wb2OxnGTqZD8/M8ByMl5h2lPBBMf+R2TpJ1w/Diqvn3ZUJVAWe2th5EuXWB/nB0JM27+BsJXD3b8Zhl++w312k/Bek1U69aupZOlGcpmFmay7+I+otpHEYWjT6VtW9i9m8Y7J5NwYjLydZBWLcTmd52EhFF07LgFm01wwpTYKL30JZeKX+Wtd4yccugsPDFzJsueeALX9evF5N8gJpZNT56MTJginyF3eCJqHCJUKhW9ly5lXZOU6vnz1J0/z4z33qNDv7uAtzl9uh+Njf+oQNYq9B31dN7VGcNZA9lvZlO5t5KyrWWUbS3Dc4AnoU+G4jvBF6WrQznLodMmKSUyHSKO/wQEhYYuJD39OSyWEmq+nI+XxSJAgUNdCiDr1SyMyUbUwWo6/toRhUZBsdqMFpiXv4K+Ry+ydMhSPOZ0RnpsK1ZbMDMensXlU8Kc2Vej45V7X+H79oIilOORg+84cW839QMNGTLEccyRJCYmUkQRRpROENRwKJxHrkxlc3uJ5W+oeTwhgYzaYBoPajEaROLI07OcPfktJo1BQdzpl8Gucujtf731D796VZhceHgIdacbwmAwkJ2djbu7O/7+/owYMYIDBw6gVquZMGECsk2mfLsALbFhDnWx9u25wj4AShUGZNmG2SzGRY2mreMYPXF3d6e2tpbSUggLq2Lu3NdRax8BtXg27/ITGd1QR/WrUaNBUvmCrRxPzzIqKsS1tik8SW1uLyPU1ZWDXbvS79Il0hsaeCUri+VxAkoJc9wIGhuzMRqv0diowRBvQ7JAWk5XYmKu0DTwtARB3RwKdVd0Ome6t4liqFTcBgQFBwsq0M6dIin18cfUX6tnzTvBSG0LMPwVjEfvf20imlaRxoLfFpDjehSmnyT96zSm3FMBU++DTlvoaezIxx9/jGyHbkm90Ie1rHy1Z8uWtqxfnwesBgSNsQkEXb16lWdaiAU0h0xs7BlqamDQIB+ioyPQamMdv1vm0UcfpbhYJjRUzRtvxOPm1jwJLSm0ERaWQvZVd7Ky3iQn522a3uTu7r2JjV2Oh8cdyLJMUpKV8vJf0WqXAKJvokFfBbF/0Ns8UWyPQPp6tu617KDXM8DTk+M1NVQPGkROTg6NNDJy+0gyqjK4/9f72TV9Fy5KFyRJYuDgwWzdsYPD+Xn8uF94v0yMv4fNJIKi9QRalmX27tvH4xcvwh138EhEBO10zZXGUKWaFbsgPUMGnYYfvX5k3S/wbS8/4nTlfNXTi731k/j6wkYsLVVfbUKxFEDZVUG34O5MHzad97a/R1VlFY9MrsVg8MYv0Izxjncx+pwk1q0n493eYvV3tVRb4NiBKQwf7kVUFISEPExm5ksUFn53EwgqL/+NsrItzn8X7TRy+vPTRLwVQdBsoaAXHPwQBQXfUFd3gfLy3wgJmS+kyRMTkRVKsN+GPgvU4MGHvMgXPz2LUWBf1GqZeLMYC0wKBbV2FUfoQb+3K/hjqhmdXolL+zqs85Yh9/rrltutrxco0ctrKEFBcykuXkt19Z8kJU0lIuItdLqe6PUvYDQWo1YH09DwCPAm+tuTA1rF4sWLKS8vx9PTi5qaaue9nJ2dzYcffshDDz1Ep06d6NSp0y3XFywRcV6Kilbj5zfRKbp1O8q1EwTF/GtJ7v9r8R8Q9L8UOTnvYLVW4ubWjbZtW8vtNtE/bgeCGhsbeeNlwQF+SgPTXwvldOKnvGB/AYAIqy9eDtZxmb8/5rIyDI6qjd3x4LQEQTaLO1T6IjW0rvQE3h+IvpOenKU5lG8vpyGtgYK0Agq+LEDpoSQgWtA5dL4io9n0kikrK6OiogLfxx8XOvqpqVT9+jqZ/h8AEB39GcHBgioRHv4i4eEOudXdu+Gee0SmNjRUTMhm2YRJY2oqIT+UUfMayH8eIGrJAaq/grp2Fq69AV3WxqN64S2YMAH7xo2EPvQQzpluU0yaJEbkn36Cjz7622zP/7dRXX0Yu93obIQ3m0vJyxNZvsjIpShu1yhob6KNVP3t9m020b5x7dodlJb2oKHhIm19R/PltlDujygnzg8MgZ2ANBISEpg1dQYVVGAHlB8FEPCjhNHNyJC8ajoDLi7iXBiNYsI4ceJEPv74Y3bu3OkEQVlZr2C31+Ph0ZczZ8TLOjlLC4knYcIEpMxMxrONct84pKhoQUNsURKKiIBAryICtz0K9y6EcVOFH838+aJsAmICtXo1+PvTMsl0/KtNvP7d6/Q9FMvM2TOdn5tCOnLFezWmIgW6shyiU2eR3PdHDIaTnDkThyxP4sEHY+jT4yinco/y0kvC5sEV+B6YvXGjEABoinbtoF07tu7yA1ajw8Ib9tdRDr0sstpKJaxbh9lu5/28PHjwQZb4+WH/4w++KSvDUFrKtb8OAoexWo9x5Uo/+vwzL7ubwqO3B11+70Ld1TryP82nZGMJNcdrqDleg8pLhf99/gTODKRT4OdQWIpr6Aqu7BbrtmRHyLJMYa14RoPdg52ZuZdeeorOnRPo02cVBT5H8VIoxPPqiJrTNeR/JvrL2v3QDk2Q8FXJDMzE7mqmRlfj2FdHUf1tihYCFF+vMfK9dSTfDxIgqNRQSpI9iS71XTh79iwAgwcPBmhWT6OEegcIMtpsZPpXEA+Y1TJPDB6M7pFH8DwVDAfB218kGDw9y7ma10IFolcvXHt0gf3FSNzgR+bYL71737I37fjx44wdO5aePXty/vx5XnjhBQ4cOEBcXBxbHYpyx32OY62yUtvbUc2Mj0eNMJ0t1Wgwm0sR2RuF89mSJInw8HASExMpK9MRFmZkzpx3MDroWvZqbwb4iFmF1SGMgKsrDQovXBy/sapKVG+KZZ9W3f+SJOGnVvN9XBxDr1zh+6Iinm3b1tkfpNd3obExm5qaY1RVHQTA96CSjVWjHCBIhFrtAEFlZXS7ICrKyVVVmEwmNBqNc5cKxd8YUT70kABBP/6I/M67JM9JRvM0oIb9pjA89rdefPBg0VsAogi87q8/+fzMF5isaiRpJLJ7LpMeyGX7t950yvqOsj5HucAFLna8SI+rPSj4qoC4b1qzJvLzxTVv0yaMQYMGOKtw4rM23N9S/hgAmdraSxiNKZSWglbrS/fuJ1AqRQZj3bp1/PzzzyiVSn755S/63PBQfzjuGG8d6sY374wjJ0dMdn18xtK27bN4eQ129l1IkkRy8kd4e++iT58/sN/9B+yPwS7JPHgJ7pkprnsxQYx0uxksPhIczPGaGtYbDLzVoQNKSeLXab/Sf3V//kj/gwd3Psj6e9ajkBTcNXw4W3fs4CetO23PRUJXFY8MWsTmNybh7d36vv/666+dFU9lly4s/vPPVt/nVV5nZZNa2kMPIyX7IjWaWFUr89nknWBOZnZwOpu0npQ3VDvXU0k2msCg4aVadK4CWJ0bfpEtWzZhMOylZ88B7NunJt8ymaHrviat4SC1HY4gOapOZ/dPY3U7WLoUgoLmkpX1GrW1Z6mtvYS7u1DorK9PaTbzlCVAxlxipjGrkZQ5KSjdlPjfI+5tX9+x1NVdoLr6kABBDiEDOTgECkDy8rpJ4W/HDnj4ESgrk8AqzMWfeAKm3QurAmvABMbuStp93wtL70KybJH079vAnj/LUaxeiGzKQ5JUBAc/jK/vOBQKVyoqfqO29hJabQyhoY85VQoDAqaTkbGYgoKvyM4WWWmlUrQJhBk24b1XeAWGZFRwVCPEXSLfiSTsBUG3rb1Uy8W+wng3zZ7GT1bRLzzCoz3bak6jcNAj3n33XS5dusT+/fuZMmUK586dw8Pj5ntuzJgxVFae58KFO6iq2o/NZqSgQFzHW4Gg7OpsksuTUUpKRkTdulfs/3L8BwT9L0RDQyaFhYLbHh396U1GqIFTXegI+Ha5dcbs2xUryCsuxl8J3y9yocyajafGEx+LmKSorC54INYtDwmhwtFcrgAaHbsqM1ynKW+aG9DI8/ThXn0mN4ZbFzc6bumI1WCl6s8qKn+vpGJ3BeZiM65WMbhpGyVkm4xerycsLIzc3FySk5OFh8Wzz2J57xWuqT8E7AQFPUiQx+NcHnYZU24zV9bFU6ZHxmwBgGbMIMnyEnV/NUmFPgZtTdhUvwEfY1Z5oLAY6PA2XPgODB3hwgcGYrrp8Wl6m94qzp4VE5+zZ+HHH0XvCSDbZRrSG9DGav/L7tS3D2c9D4CcnPew2+txd78DP7/bSE9Dszng300ygG+/hXPnRDK7U6dHeeGFh/k9KwVIYagB4mxQoxPVnfT0dOH30RQHm/8aH9mOzoAt3wOQsNkMmM0lThC0Z88eLBYLDQ1XKC5eCwjVmD/+EMc5bx5ixn3lCrbXXmPl14+iqLBCBYJSNWQI9OsnGmTi4ti/+37ebfcof60IYtG1y3DyFJhHgXIcDBrE4q87E+Yvtv3nn8KnESDdkUQzFzeDQ0ulhYQRCTQUKXD1MdGl8jlcny+n+3evkHrHIQyGU0jSTzzwgGjkfOZpyMoGX0lir7s7vQBqa8Vk0scHvvkG++SpPD/xOmuxA6uRsTGXNXAJkTF0cYF169hTUUGB2UxwXR1vfPklGouFd4Exjz3G/nPnhNKCainnz+/5b4OgpnDr7Eb7Ne2JfDeSghUFlKwrwZRnoui7Ioq+K0LtvQRFp+t0DW7bZDrvtAE7nX+aeTvnkVzuaNJ30TO7y2zeHPwmSUmBnDr1FL17raZssIyhejgejmygLMtkPJMBMgTOCcR3THNlcmv0dxxV1LAkaiJvD3mb7dzawBdAKSnwqffBsMBA1MooysvL2bx5M5WVlVgsFsLDw53gJ8CRlKimmgZU5ObC+pISqu1V5FOLW5oW8GVRejqPJfsBLgQHi4mNp2c55eWtfbBUjiSS9UbJ4pYg6BZRVibU/ex2AQBbiiI0hTpYjbXKilTleF5jYlBKCpBBtludfTtqdVCrhEdYWBiJiYlYLDOAVQCU8w1KwF4cgr9j/KqrE4AKrZZyGYIBL68yDAYhqlAo+6JXKunYpw8SoHQkG4Z4ezPS25t9VVW8lZ3Nj47qvK/vOCoqdpGVJfiZCx8FVaaET//WKlvOStDmzbSx2fBWKqmyWrl27Rrdu3fHVu4HFOBqjqCiYg9Wa83NJ7CnDeU4b/x2l1Pw+AHqLrhBG3E+ju+JZuXHrRcvLRW9Y0aLkSnPnSFl7zBgmDhO0uhONeGvhbBTAYkXvNi//BSzD/VjXY919Ljag6J1RUQujWwll22zievSu3cfNrZMciDkhG/8rCk2bhxOaOifQBoXL/YhMvIdKitjefxx4XX09ttvOwGQ3W6loeE6BsMZokb9zIZ5l/DxKUWS1MTFfetM9LWMmhp47LFo5sx5iAkTviNg+rts2n+AatVl1idFcrlDBsYyyLGFU3xaB3e3Xn+qvz+L0tPJNZnYV1nJGF9fugd3Z9u925j08yR+uvoTehc934z9hoHhgj2QaTTy2ZYX0RzV4B6jAXrQ8jXZ2NjIG2+91XzuEhKYNX48+/btw8PDg4yMDOZ+8BYNDUK17/LEicifdkA+GMzZg3Dfz3P5/vtewHH+mvgCsbHNfbpXM0/QZamQqG+pYFdVNQbYhFL5Ozt3vouvL/jSld/v/50hPw4hSnHGCbjrDP5s3izcNtTqAPz9p1BaupnCwu9o1+5bKir2kJIyF6u1Cnf33kjyBcCG5AYBMwMo3VjK9Uev4zXECxcvF7y8BpOT8zY1NceFiIfjXpCjY6CgjLJyAxmOqZDFAm+/3eyvExcXxrJlLowfD5WVFZSVV1Mp51MXWoMUoiGuYzSnXtzJmPfupCZAQUnJYNzcDGg0YURFfdTKl6pt2+eQqv1IGJ3ApeQ6oGWlaCrSGBdUT2wBtZn6ih5o31tM2hkTJhy9REjIZodhs61FZVbG+fk6RMlqKEMJVIvzLznYH0qlko0bN9K9e3euX7/OQw89xJYtW26aAxlNhTz1x3zu8VXgY29k4po2HN7zOTCHLbmfsfeTZeyYvoPeoWI8ffWQGGOUCiULflvAtmnb+HeK/4Cg/4XIyXkHWbbg7T0Sb+8hN32f6d5IkheYlLabvjOZTLz/5psAVI0Eq85C18CubL9vO7+v3QCAZFbhiSill0VFUX5FZPp81Gr8PNsAmVwvO0eTO4K7/x7ufbKQwCo/4NYNdioPFf73+ON/jz+yXcZwxoB2iZKAAPB0UVP4bSGhj4cSHx/fGgQ98QQ5Ze9g8WxEawkmNnY51fsNVB+qbrV9m9YIDdVisvzjj5iGXKUhvaH1QYQLYFenCoSLR9BFROCWdJX8qvvAvYCrV8dSWtqBUwlPc7RzNh4ewcyfbWFWx0uiiV6WRfnk7FlYuVIYoykUZL2SRe4HuYQ+FUrsF63N8/770WSWqsBovE5hoZAdjox8/2+BlrPJXbq9Ql5hoWAZgvBoi4ubQWP9Y4CNfrHuREXV4q5sT3m56LWaNGkSHes6UnWwimt4oB8bwDAxxyDIJOgDhqP1aO+OoaEhjbq6i/TrNxJ/f3/Kyso4evQoPj5vAqKPy8OjN7byKsAb1a5fgcng5ob9o4/IT0kh4tIlpKoqoaO5e7f444h65VT+sols+hdHuuE087EBh0HxhcAZZWXCUzUhoWlNkXJKro8gIwPCA6wkjE6gPrEedbCarn/1xvX7ubBsGfpH3qX7B+9T88iHXLnyJ3v35vDjj39QXFxMcHAwBw4coGNRkZD/kWVxb/z6K0adH7Omwfbf2+NDNp3pjBoNEqIHhvffF0pgwE5Ho/x0Fxc0H30EgBL4pbSUDvdOJ+/8ebDu5dixMh5/3J/UVFH0ul306+fc9G1DE6IhamkUkW9HUn24muL1xZRvL8dcBVR1JHFRDdnZMiDRrRuklKcwcsNIDCYDCkmBhES9pZ5vL3zLT4k/EeZyFIvFFflQANLwEpKnXKentRaVyp3yX8sxnDag0CmI+qC1CeD1pAZIh2x1GSqFipMnT2Kz2eDXX0l5JI2LtGURi9DpYNWjg+EDsGZbnRP1r776ii+//BKAUaNGOZ8Hby9RyamlljqU1OfDdwWFaLJ/4wdWceel0XTRv0VCfT2/qfOBSMLDBeLx8ioDZFJTJScIul4pKDBZNV6tT2RTv9dtnN4bG6sBUCoFrafY4TVwIwgyXjOiqHJU6zUaFN4+UAnYrU7Ja42mdaq0qSJRUhLMDz8sZf78V1Ei3N8pbrZDqG+SU9ZqybcpCUYAvfp6kRUuJYBJISFscKjrtYx3IiPZV1XFhpISXgoLI16vx9//XrKyXsNiEQIMqalgx0pETvN4p1B48OGHjptwhQJYgrfXPqoqLvLOO5dYvLg7Wqs4rtAwLRkZLzjFH24MzUJPvHbryF4vrvnKleKZ1ntdp1u3vq2WVamgpK6ECZsnkGIaBkFeBLkFEeQWRGhCI9H2ehoqLIwcKXx7j+wK471u7/GB/gOu77tOXHEcia8n0n15d+c27XbJcQ1veXi3jaqqjoSG/ond7kp9fQKXLk3kqaeU1Nfb6NUrgIkTU7l6dQImUwFG4zVnpd/fwSSqrwhgwPAdeHr2u+X2v/pKmF2eOPkKo8Z9T3RkNhuHnCfksBn18D7UNiShBHIrY1m/XcHoG0CQq1LJA0FBfPbnnyxctYolAwbwyCOPMDZuLOvvWc/9v9zPyosrsWXamPPWHNrQhnzyOa4+wsiSsdQvuMjd+kBcZAspD6lQB6o53OcaVRUV4OtLny++4PqTT3L69Gnuuusuhg4dyg8//IDBYCA0VPifT1IqCZlexlCfYK5cgatX4/jgg9W89dZUCgo+Ijd3IMOGCXW0tj7N84kmhsvu3XDgwEhE0u0yklRIU6NQnzZ92DLxA9zKFzlBkItKIiMDkpKEd3NIyKOUlm6mpGQDSeWp+FiOAODm1oPOnXcjIarDbtFW2q9qT92FOowpRgq+LCDi9Qg8PHoDSkymPBo/fwVXux3GjEFWegNP8uqrX9+2l3PHjgzi48V4uGzZMj78UAA+ZTGsGAfFxe8R/tyjHFjZjuPv23FzE/RqkymX5OTWfTeB0rNU3nsPlkpLkz1V6/h1PPGPvoKskrky9woNlWKs8cefnvQUtHAV9LrSC00bjXM1fSc9ffP6kl+Uz4m+J8AOyw4u46vvVkEG1FiaFWn9/PzYunUrgwYNYtu2bXz++ec3UUULS3fxUPBlKsxi/5GuVewpEsmTOveL1NUVYWnhEXip+BIgFOIqGipufSL/D8d/QND/j8NkKqakRJQnIyPfuuUyFrW42VSam0mf2777jtLaWnAHa0+Y0G4CP03+Cb1aj6JpAm1WOulw5Z6eVDz3HHz8Mb7h4XQOvhOMmRQbUpBlGUmSGNFnP51jD+Ob2g14/V/+Bkkh4dnPk5fme3J/G+CXjmS/lU3gnEDi4+PZt2+f6AsCjKoSCsaLByRmhYTyLpXTZ0QXr6PdD+2gtBRp6j1i419+CS4uxH0T51BDa47EY2lYgFq91pnqNkqDuP/+a8ya9S7jxn1PQMA1Jk56mP53hvLzz8+RX7VAyLa+8opwvZ8+HXnxMxTFpWE6/ADBPT4n9wOhVlPwZQExn8YgKZtByuOPP873338vyuM3mk8gJhwvhYfDzp1cSk+nd+/eYLcjS3a6dIHjx2XS0h5Hls34+IzCx+d2zvYiVA5uvtb19pWgp58WrSu9e4s+caXSDUtxCJBHj7tradMGPNuMoaxMDEZTp06l84bOVFLJ58QSERNK0zi3+6eLJO0pIuREI3Hj+9HQkEZNzQl8fccwfvx4Vq9ezebNnzBr1gkUCh1RUUJRx5qYAvRDWV7c6tg01dVIJSXcLu605bGTTZRi4YjWjcted5Fe6YPJJM75Z5/dbk1x7hvsrtx5h40t0YnYL9Si8lHR9UBXtDE6+PBD4R20dCnSS0vwuj6PXk8+ySs/TaC4uJjAwECOHj1KbHa2AECNjUIGets2Smp1TBgi8LFaDa88F0yP977EDliCH0EqykfVvz8MGoRdljmSXYG7BSZ07oml19Dm319Sist8E0R/AxkZHLm0G5jL8uViAnS7SE8H3V9FlKwrcU4W3Lq5Eft58yT16qSrWKtbU7vcurphOGfAbrJTf7iaDhgwRnji5SUzfs18DCYDA8MGsmvGLtzUbvyV8xcvHHiBC0UXmDvnYXp0OseOXe0YaSwHXTYHT/dC4f8+2iUCSbR5tg2aYE2rfVrcPIBydHGCxuXt7aChDRpEH57niqIX2CE8HPy0UTQCplwTflY/Smj+fUArWpK3TmzHgAGzSoXNt5FL9XX0aUoooOTl8HCmX7vG9dgiUETQvr04ThcXM1ptHcnJ7k6D2MJa8bIvbWjRlGWzNZskNpmc3hBms8WxTTGDbgJBwS30zpvOibMSBET4ukEltLUbWlSCmoENNCvEZWVlk5LyFPPnN8+25LII59+dlSBXVzIsKnohQJDZXIdWK3pGpt2GztvLw4NJfn7sKC/nzexsfu7YERcXL7p1O0x+/hd4ePTCziOAjfz8Zn8Yu92NV15p+peofFBhBS6yffs5evSYh9JbBeXgGuuDh0ffVjLdABaLnR07Cjl5rBojalys7xLg4cf+3RL1Bpkn3jnDV6/OabVOZlUmw1YNI7s6G5+R6WxZOYxhUWJ8X+4jQRVgl5k5U4Cg7dsVvN/bl/2z9vNUylMs/mYxFd9VkLUgi8huoqrYVAn6h76VzkhJeYx168Ywd64nd9/9C2+8sYKUFCPu7vDcc6WUla1rtbxCocfNrRse1zS4fXYMzy6jOdG9ns1H59+0batZxeaPPgbcUPbbwS/5MjPC4PXXZ5AxrAey7n5sDR+jBLJz40n/RbSzBgW13s7joaF8kZtLzoYNrCwo4JFHHgFgeqfpKCQFs3+dTefPOiNXycTqY8mvzyfb/jluMaPITi8nnJV4NLhSvFrQir/u+SsAHj16sGfaNHI7dGDYsGFcvnyZy5cvA+Dp2ZMPP7yGWqMAZMrCqvh6jRVPlYqyMti0aQq///4UY8Z8SX39HAYOvET79uFERDQ/H0ajzOXLMHs2gD+Bgb0oKTnLH3/80UqFNFp5jhJAZVejwk5obAU5yYJh2akTeHoOwkUTg8WUjo/9CADbC0DnfyfdbT5OyQe3dqDQKIh4M4Jr06+R/1k+bZ5pg8pdj5tbV+rqLmK4tg1XgNdeQ34XwBVXV3dcXERbcpOwjlYrwLqrq0RSUhKrVq1i3brme8Fmg3ffkRg5Ug/e3pR+4IOHfyp2m5LKqkBkWUiFt0x06UMDiEnufZNJbVPIskzFbxVkPJuBwqLANdaVuBVx5F/pi33FC0yqvgyVRuou1aHv0NwTp1ArcG3jyrrv12G32xk8eDA9hvUg8oQEW6NQKtu32k/fvn359NNPefLJJ3nhhRfo1auXSGA7IjO5jGXLIDzSizmzKpkW3Y6NtQOoAn565DU6dH2OGB9hrtxobSSzUpTRtkzdQvfg7vy7xX9A0P9wVFuqyTfk4+JQ6qko/BhZNuOqv4M6qS0tCW+l9aWYbWbyrqkhDzLf9G69MVlm2dvCY4Y7YHqX+1h3z3pnmdniYqJOU4erpUUlqLycyvFCGcnX358+be8mPXUtLhg5nnucgeEDkWsdx5YSxsU7L970G0IeCSFojhiJjalGUuYJ/n9jPz9oA0qVFUuZhbyP85wGXImJwtMhI+M5ZIUNn4tqfHcUwiefIMeLF4TKS4Vnf0947h2wJcGgQdBXZAndOt/scGhqbItsU1LU2AwO27WDVau8gY8xGl/Hbl+JTvcp/v4FPPHEM8BSfr/4Eq/seQUfHy1/vggFb/UkvftRYAMlp9KgW7MWZtGA+Xj4u+L2+CcwciQ9evRg2LBh7GvqWbkh7JmZkJnp9L+xWpsnqZcuQcqVrzGYDiJJGmJi/mYW7Ij2h9wx7woj4MFbdxwePSosOJRKoRbclOk057cF8pxNnQEBMygvFwpYvj6+1JwQtJVreKApat7eJ2vzOXIghxeB6CvxEI6jZ+BdJk2axOrVq9m9+wAzZ0JY2EvOzLbNLAZulb511//1qVMJWLLk1gZ6Nhu2pHA8llRS5OnJxpruOKSK0OmEcEJkpGgl8vcXJpc6nfiz9sNiDiSAChuLqpOwX6hGclPSZV8X9B0dLwBJEpwJb294/nksq1dz7+bNnDAa8VQo2L9/P7HHjwvkaDbD+PGwdSvXMjSMHQvZ2YIVt3MneNolKt4TFNITRd/hQSI9Ll3i+cbfKJVdWTZnGP7lAIlNeXxnLEHPgqGDICODEtUv1NfPJSQEOt9WslAAr6yXszAXm2+7jOGkAUvZrb0gJIUMssRkCsjs78mvyb9yIu8EOhcdP035CS9XLwCGRg7lzPwzrL60mtqTomk80VPJHyk2Pu4CbqRSmToDtec71Gna083aDfdP3QnQBxDiHoKXqxeeGZ6UU07B6SIW7lmIxWZhcMRgZnSYhovOSpVR9BOEhYFGFU4j0JjbiEYpgMOA9gNw6eZCYHggV12v0qWxi9iuQx2zRqrBLbCWxs5CHEVhapokSNzj54ePSkWllxm6V9Gpkw9paVrs9gY8PctJSWkWr8A/EJJBdm1xL+bmimuvVosDvEVYLGbHNREz6CYQFNRiNuri76CW1DZP8rSBvpAGsmzFZBI9WDdWgrp0ETLG584dp6hoDXV1Xri5VYv9Pt+c9m+qBGn1eppyqZ6eZdRLRWiBGimYu71veD+0iLcjIthZXs6WsjLeqq+nvV6PXh9Pu3bfOpYQKntWq4aSkjgCA6+j0w1m/nzg+DHROBcZRVZUb/78E3x9z9KtGzyclITFYsHPzw+NZmarfRYWFjJmzBiuXElt8WkZNIvYsfyNbxgYdxfTpk0T69QWMnzdcLKrs4n2jub3mb8T59vc36PyKIcqqJazGDs2FJUKkpMlCgr0jHEPZfn7y9lxeAedUzqz44EdTD8+nWD3YLy9l+HllUpY2N8nnW4Mg6E95861Z9o0yMqq46efhB3Ap58+Qb9+UciyGZXKG7U6EJ2uA1pttPCT2v8BXDwEXRUklSax6tKqmzeeNBVq3XDzq+SUx9NczlXSqa4TnTtcIfrOi5Sox6F2iGlYaztjNgutFocLhjOitVqG+/iwH0iuq6POasXNMd5O6ziNwMOByDkyJpWJhukNsAqOWa2sGfAbV43tWVm4gUB7IOMQ10++Kt7VS8aMwdfFBd/u3Tl37hzff/89BoMBSRrKN99MZtYsJZ2oZubbSezobuH3igpmBAbi7w9PPQUVFcs4evQ0Pj5nuf/+aTz11DGs1ubnw9u7Ofnh6Qla7RjgLC+99DsbNwoQFBCQx6OPCkPkTdGf4nK5I3ODfofk0ezcKXKZBpOBz67bmBsKagWcbujFl+nnIP0r2mf0dCob/JGSQN/KSvyn+qON1dKQ1kDpz6WEzA/Bw6OfAEHxdgJc7oa+fbnzTtBolvHII8v49lv49VeRNz1wQIiQ5uXlsWjRIrZvb03/1ajAZIXcfJnDhz2YOPEwxVHiGejytILHI66zZbcehULYJrZQjgdoReNsCku1hYxnMiheK+4HSz8LfXb3QeujpewqXMqEzHhfulYaqTpcReDM1qazsiyzYYNgBjWB5Dvv7M7Ikd254w6xTH6+0IpycYGpUx/nxIkTbN68mWnTpnHp0iWnkW1BQRmHDkH37jbmzAKb6TpmUx0ajReTBsW18gk6mn2URlsjoe6hTO0w9X+wveB/L/4Dgv6H4+3Mt8lMEshYKcHWvuCthpfOniflaA+Kn2vOpE/dMpVjucfgCpAHlSWtpaOPfPQOVyoMoICho/qwYfLGVuZi+0d8x5573+Hgsr3OnqCKigoqHaLuPj4+uOtEpsxPDWsur2Fg+EBsjY7LLskYThq4MZrUnABs9bbmZTqJh1fVxgsbkPdJHh23ifL3hQsXqKg4QEXFLkBJdNBbwBJ4+21c1kzE4043VCEy5YevwootgC88+iqUg6K0GB9tMxWu2qDAaoXCKz2YvdhKnz5OpVz8/GDaNCgqgkOHPDh37lmSkhbi7b2SMWO+ICQkE53ueV5++XPWrn2T06c1NHZvnrY26s7AZ2ec/74O+J6AzqNHI3/1BTMfmsjQoe1RX12IUxKlRXhotSJNpNfTsWNH8vPzMV88TtQEUfrOKf4Mb2+IjHwbnS7mpvVvjLYZVriUC0/f7KRttwv7JRCsvm7dHF/IMvZ6R7be4EVExGI8PO6gzNELpi/TY6u1YderyKh3I9hxy+XW5HIiT5wLO3YurHAh8kMFtbVnMRqvM3z4cLRaF0pKLOTkBDJo0HPOY7E6qnnKmIhWx1gTE4M8evRtTWrO/FaIF5WU16hQq+HBB2HOHIF9/466cmxdHQcSoK1kpJ9cSSMK1rbtzI+db9E3t3gxcqdOPDFhAr8bjWiBPTodXZ59VjiFg/A2+uknDh1XM3my4OrHxAiTxthYOHfJTCIedGo5g0tL46vaHzD5DWaco2fhtpE2BViDIv8k27eX8uQkPU9Oar2INlqLwkVMtBuKzFwvsaAE2n4Wh3uIyjnRbop2K9thN91cIZQfewypspxrvMUAygnrZeXLs4JutrjvYtp4tJaDVyqULOi5gG+OCy783RUeVPR/gVVFe5jml0SwhwmWvUBDbgADG2o5UVHL5dpCLhdfBiDSIsaQUkMBuqI/0CvhkYQf2JS4iV86x3P2jGioj4oCrVsENUBjTiNKh6Rro9zI8fbCrX3z3s2MiB4hQJCLAEHVVFPjcgG6iyqD1SHqYpJk1AoFQxUBbKMQzcgygoJ8yM72w2TKw9OznOvXm2XxovvPhr960WugH+np6ezfv1/INoMAyi08h4YOHdpCQllUMm+sBLUEQSofMWYqaptLDaHh7RhzfAxhSt1t6XCDBg1Cq9VSWJgN7CIxaRR9+2zGiJYY30HO5ZpAUISXF9U0HXIJkiobgDjPWMz19UTHxyNJEpmZmahbNHp0dnNjnK8vv1VU8ENRER/H3Dj2NE1OZPbu/YEXX/yBqKgPWPmJAUJGA/Ww+jC5Ub0JD4eamgSGDWuAQnfsZjsqLxW0KBBWVVUxePBg0tLS8PPz49Ghj6LYoqCBfLT6LXyilKk31CPbZR544AHi4uIIaxfGyA0jyarOIso7imNzjxHs3rqypAhMg5xYFJ4FeHnB0KGwfz+cORPMggXQ1rMto1aNImdgDt0TuvPMs8/wxadf4OU1nepqCGldiPuX0TRnq60tZbbD1uHhhx9m/vy/T2CV2gyUBoCPqoH+bfvz7tCbvVfW759KClAf/z0o7Lw3/DMyZ3nRedRumPoLqZb3AMilLeN6BvEpghjx+OM3V4OmBASwHyEcMutaCpvjO+DqosBWb0P9oRoTJmJfieXQi4cI/MmXgoYGzv3xM5lPvwEvgayQ+OQTF5542UR6g6A0jnR4CwFER0fz4YcfYjKJxJQSOwtI5z7y4XUYHwC7vy5hwpjAJjV9VCo17dv/TGlpD+Ljz7JixXNs3/koe/e0Pr8+PoISWFMzGniTsrIDHDpkAVx46qkvkGUrnp5DqEztClixtT0Ckp1z5xRk5Zp4+OhUDmZncb4ygENzDjHCtyOuXst44eALnPz5JKM7tWH98Wy+2vQXBy8P4OzZswQvCCbzhUyKvi8iZH4InpY4CoGaTsBMIT7QpH7/7rsCAKnVIiHWpw/8+eefTJkyhZqaGhQKBRMnTmTmzJkMGzaM4YOiuHBV9Kp+8snHtG8vxquQcyH4JRby05h38Qh6jx9+ED20BoMQzr1VyLJM+a/lpD2ZhrnIDAoIfyechA4JqNxVjmXEsiUBnpCch+HUzXO2ixcvkpWVhU6nY4LD9bWbqYJPAnIoifqMr76qpeaGdr6OHa14esZQVJTOqFH3sWXLfBobt1FaKhgldmS02hgaGtLp1OkkOt2Ym4xSW6rC/TsCIPgPCPofD8mqReUw5+nja8Vb3UCVWeJUqR5/nXurZRU2sazVXg/YifJp5uLbqiqZvUbQ59ziXdj25N5WAAhAgYRkl1AY1a1AUEWFyCX6+vri6hoBgL8Gfr30M1+O/pIipQYXwOJfT7ftN/cEtSy1uka50tGxzNLvc9j/GPQKTWFRH3dqz9Tisd0DFxcXKisrOXbscby8IDT0cfR3vQg/7IfDh6l7axFDU7ZSgxdsBXC4IjqYMW01Ermm5t8+ktOcpQ/uWIjDQHhtHU0c4upq8ZLYtKklW00LPMWmTQsZOXI9c+e+jr9/Ps8/vwCHpRFKixrZZsHuKkO5D6o6GSseKHWg8XcDOQnLK09xuqNQzLmrdwFS0O0tpK3WWkqL11BSsoFa92YTUFm2ERAwg7Ztn7/tuq3iFpS7ptixQ/Tbu7kJbrYz9u1DJ4uB0PfaPUREvCYGU0ffSlO/paK3N/bDEkWOStALB15wypnKyLQ534WCxhBCXfPJyVlKcPACeva0cPw4JCXd1crXaHGPI8w++Sjeve8Fmulgfxfvvw8nVwrHAT9/uH5OUKb+SfRpV823+8DDcXq+0MfzR7IXXouESMSN8XVqKt+bTEhAEJ+xps6NOw8uEODs9dfh5Zf5cb2C+fNFEe/OO8X5beonKanM50nGADZ2Pj4dw/LlFJzsxqQpkzhXHsx9G230lvIYKl+nOK2Y2opagtyC6O3fl4fnuENeT1QKDVZDFZbZezjHzZrVfbP74houKmkFn+SidFx79bhAAmJuRoR+E29tyiAvPkMV9eShpS0NhFck81fNXygkBY/e8eitT6jFQoPNSk0NvLziLIpvL2CX7ey0gxIJFDJQyvDhsONFyKkHixzJo/dkk2UVZkQTR6YzyDG37uOr4KlLe3i0fxQnHTmFTp1Aq4sCjFhKLHioxZgU7B7M1A7Nbu1ualH11ctinGmggbAIidxu1QBkB2ZCPpgCRFNVeL4vBBQi96kAZFxcmkFQk08SgLt7MBCMnx+cO7fW2dwOQEmJGDgcsXr1d04Q5OEhgI1WK0BokeOBaUmHc/FxVILqml/0XiH9eZ5eNNhqMJmWAzfT4dzc3Fi8eLHDoPAzth9fTUUfA2cYwGG3ZnnqJjpcrI8PmQhwExGZhKdSjOUDA3tgs9koLBQVp1tNOBYEB/NbRQU/lpTwQVSUUyhCRDMIamwcSHy8Q4J/1QrRyxcfD3fdRVtEL1RpaSmXL19GOVfCmNpI1wOd8B4u7kdZlpkzZw5paWmEh4dz5MgRKmdWYsBApMfPhBvq2NGmDQmGenr16sW5c+eYOWsm7k+6k1iaSLBbMAdmH7gJALX8XU0UykmTmkFQU8T2j6V2US2GzwxM2TyFse3GEmY5jtCA/K9FcPAhRo26zpYt6ykuLqZDhw58dnuOrjOeT1KzLmgd/fOTOBHai16hrfvN6urgzXOOJvbO67i3w70s6rOITxSfwp6xMPUXp09MIp14YLCOv+4Q4/3UqXD33WLo8vMTilwF6Y4EiV1mZ2U57p9c42OPDkwoysWUb8I1wpXwF8NRapVMmTKFtRs28Hl9Pbv0oqpa4aZgx6L+7PjtV+oP1aNT6+h8i1L1tm0iwTjBvYj7asXzV6dQElhqY/jiSg6rLYyb6OJcdv78CPr2Xcf7748nNvYr2sU2MmsjmM1qhgyX8fYQlOPycrDb7+Cxx/wxGMp47bWTdOzYDX9/oSIZGPg8+Q3ClKB7ZAx5oWcgvx/DX/2SzOiD6F30/Dp9L1G+Yi7yZN/FrCspIfrnnnyW3CxPmZyczLvvvstbT79F5ouZ1J6rpTG/EY81Z2Ac1MVJ2Pp0Rwk888wz7Np1iKys14CpfPut0PU5fPgwo0ePxmKx0Lt3b1atWtVKTrrOLH6/UqkkMTGJs2fhjjuCiYr5EJiNctX3fJ/7Gp6eWj75RNDZU1OFEGdLepylysL1R65TtlUkL7VxWtp93w59fz0JvzubYzl27CvgNbbn3cvdzMR4zYilyoKLd3PSrEnFcsyYMegcO0lPPMCFjvNxU9XflpXw3XfbqamZzeXLRxk6tJjVq1Nx5KCoNpqxWAYB6XTtepRu3cbctP7e9L1iv7E3f/fvEv8BQf/DIa86jjXTC4Ahr84ANvPnrqcwL/8cayDwYvOy9nX7sB4D6AucQU5u7q144c1h5GeKLPCXb3zlNEVrGUOihuGfm44kK5x0uMrKylaVILU6EIXCFeyN6BVGtl3bhtXgTQxQ7t6I/6TmF7HJVIgs24BGGhsdpAxXcB8FkqQi7/lYUtJPEVQbSPTGaC4Pvkz5qnI6tu/I5aTLXLmSxvDhfkREvCFSQGvWQPfu1KXkMZv1fM2Ttz5pkuQ0awSgQQF26EMlr5BMXYUEhNDQAMOGwcVEG0wsIqB7I72UXozx8aSy4gzTpvUhMnIuaYdjKWWgE19ERLxBhN8zXH5xAjXT/kJ9NZSOH7hwyfwJCn8XYov7QcJTKFcu5+pVUYHp4Z2DR9DNaUVZlikpWU9GxrNYLOU3fR8T8A7x8Uv+cVbkWf3r0K+GibkBDLrhu6aekqeeEpQxQBzcSy/xHn6UMpkuowcgyzLXv7vupOY1rGlAjRqfGUFwWLzUyo3l/Jr8K7EekAbIPVNwuTCWPbv9eHhqPiUl6ykpWc+dd8Lx43DwYGuvlQBVJQFcA99bu2HfGB9+KMQcmiwr+/eX/jEAAhgU0JlPeA89PoQtCWPRIH/2jRHJ/K5d4bHHmpc9evQoTz/9NAAz73qKDUefJk19Cl59G2bMQI6O4Y03mmkm06eLW7Oln4/IL4jnb+Lyr8WHly6JPwD7RvNM1zHcF/Ags9bNYtvGJgUcx7L0IM7jDq5Vn+CE5gKRuhhUN94DLeakSp0SAypO4suQDCV1DtZbWFjzo1BVJXoEmqKuzkFpqH2Q/fTBiyDmk0XN7hSYBKNiRhHqcRsjhwMHQBL3h81mx2ZrrjBZkZ1+VU3CauF6aGzMwuZge2q10K5DA7W1fnzzTTlFRXYio2Ctt6h6azTQvr07utoI4BrmUjMqh0raHaF38Pq9N/ceulrEBTDLZsaN6MmKgIsobBJ360xsBDp4i+qI7YIXDFZg9jBzpa4OFxcxGff0LCcpSeQRJAns9Q2AFqnRiE53jUE3PlAtwsen2TKge3cbw4bBAw+Inqe/qwS1BEHF9iAU5FFs9cX3NnQ4gHnz5jlA0BmqPHWsLXuedz5WcC04kc47xOykqRLUwdeXvxxjuY+3UKkz4MmogI7UtUjl3mp8Ge3jg69KRbnFwimDgYFeXi2+bQZB/v4tPm7SQX70UZAkJKB3797s3r2bc+fOcS3tOOXYefXYvXgPFzTiHTt2sHv3bjQaDdu3b8evzo/sk9lIKomgRe3gHZAcVennnnuOxx9/nGtJ12AreI3wYv/s/UR5txbfaArZcZxWhxLpxImwcCGkpvpQWGhxjiFd3+3KqZ2n8M/0Z/BPgznTawiLng0iKmoWIAwnS+pKOJ57nDxDHl6uXsT7xdM5sDM6l+aZaFzcdyQkbCElBdRqLWvWbHZOIv8uCszdIWEile6/3/L7Pw6YsFg04J1B+w4yP0z4AUmS8FckQ/YsGrODcY0QYPsIg3lDp+Xbb2HAAOE7e+JGzm3T9cvQgVnC2rec93+/QpfPDUhA9CfRKLUikTJ77lzWbtjATosFW4OgmGJwQSlJXA8U43onbadbUpiXL3dUgbSpYgDve4afPlnBdKmI8DqoPH+ekr5t8PIaiFodiqcnVFR04vDh2QwZsp6JE8X91GiW8Q+U0bnAcCdDUcHevSPZsGEDjY176NfvDJmZtej1nfD2HsV07kOmjv0j3+PkxYOU5/cj81QnNHEadkzfQY9gIe1UYbEw8soVkrzGkZOxi2KK8cabe+Y9xerVb/Hll1/y4osv4t7LndqztVRtziDoyy2o+4HZV6a29gJeXgNIS8siMzMBqOSBBwRtLTMzk8mTJ2OxWLjnnnv46aefcL3B+C3CR40cB3racOl6Drt2wYwZX6PqPQHCX4WcHKTNm1i2bB5eXvDaa/DNN3DoEKxbJ3p7zeVmLg++jDHJiKSSCHspjLBXwlC6KrFYWlOgLZZGoAYzJjThGkw5Juqv1uM1yMu5zC+//ALgtLcA2H4wjw8P1NMpII5Zi59l8uTmd4vZLJjCixcPZPv2XRw7Nob8/FTmzOlBcHA3YDX56Xfw3nt38sILq+ne/Qwt/FcB4e2VVpmGi8KFYVH/ginxfzj+A4L+fxQ6nYEBA3YAcODArH+xtBjwc3PEv7bv+pBP0y6DBdq08efBqQ/fcq2Jxe8w6FgVtdTi4yOUiiorK50VAV9fXyRJwtU1AqMxhSBXWHdlHTPsojk2uFNrx+eLF/tiMuXd5vd0RK4WHcj2SiVed3nhM9aHyj2VRNn8uIzwJX344Y9wcXGokYSHw/r1tB83ji95ii+Vi5FtNqrbTED9+3r0nZoqYwEg1Tn3ddoBXvK3ZJGR/gpud54k69In7D6uJizaRuSLBdgCTBxnAHvwx9XXl/uzL+DqeoGSEiWNLkIeuqHBjWefvcS1azHINjv11+8B/kLumof74X0ohjViKbNgvN7AiTffZE27OH5bsoj6ehj4WxY9urZW/LHZGkhJeYCyMpF10WpjadPmafz8JvIcgoIUETDtHzs7Awy/7x20nS8hp/wANDcVJifDkSOi0ffRlsn9zZvhyhX6KZWiO7PDvRStLebcY0IByxVX1HY13iO8ibjPBx4Wk+e1Z7ZhsVvQqVSAFddwF7gAMUfGs6VXBtPChf/JqFFDWbbsCJcvXyY9IZ2I8Aix31o7Ei4o/06S3BGrVjVTDe6ZJMMO+K+YSFtrrZT+EEEPQvDupyTyRX+irBW8/ZKW197XsXAhGIrref6JRmoM1cyaNQu73c6cOXMYpb2HDUdBodXAa6/R2AjzZzdbA738sgBDNzZQe3h5As+BdIQ+3WzN4Kd3b87V1WGXJLo63iDR0dFO2dyKslLSM7OAPHpNfI5rP55gVY+L5H+zgD9u04gPEPl2JP2+j6SkBD5s9irl4EEB9BsbBR/+m29utfZSAAJpYD5Z+F7xxW+IH0/2vk2SAWDLFio6nqGzHrZsEY7qXduf5Hy389gb7Gi3vE0Dia2AoVotlsWqwC2lF/5ZMczdeJnERAf4v9y8bL9+4O3dDbVWcKYsZRb6BPVBmaMkJvDWtFDXFgIGlaGCTuZZ4EGEfzRwhYBAUU1LSVCChzfcWcGeykruccg6e3mVUV8vqDZ+fiCfOQvcheL8WXp/1J6lS92goVGU/jRqWuoEd+jQzfn3u+6aS2jwRWLdR2NJTHSOn0F1dZCTA+HhzkqQssoq0rouLtgbGjFSRz1KzI1i3LwVCIqMjESn88JorMaiS0FjUtL+rJ1qj2rnMk2VoC5+flSjp07W4yYJYGTRdECtVLYSmFDcQgFApVAwyseHjaWl7KmoaAWClPhiwwJIzSDo0iW4fFmcl5nN/T5NIOjs2bMctf9FPiU8bGiu/i5btgwQAKd79+5kLhFA2HecL5rn5sEXb9BoFJVqSSMRc38M5V+Ww1FY8eoKOgXc2qQRICu1E17YyM0R75CQEOjTx86ZMwp271Y4i3lKrZKOP3TkyrArjLs4jj+sX/NFgokG25/kqV+hpL6Eaod/zcY8qHS03vX1kRgV6kOgPpAgtyCO/nWevXsBJMzmn5kzpzNHjtxMR7sxrO7i3aVwd7/pu6LaIhYtPwVMRt3uCLum78JD4wHl5UgNIolU/ttw2j69h4O2buSo+qFXKunZE06eFG4ODQ1CrrmkRKiDFhQoKCuDcB8Vz7p3ZrExkYfP1yBZwH2gF373NFeNBw8eTJuQEPILC1EcOYodIa8McLXhKgDtDe2x1lhReTZPAa9cEVZ7sxV5uFVZobeQln/42YXOZXwQ76ZOnXYye3Yos2dDcfExUlLWtzoHahcLBsN5dL6tMxHjxo1jw4YN/PLLNiZOFBT4tm2fQ6GQMLIfqMHV5TP2vvMYvX4DZc4ITsxKoGeE6BuTZZnp165xoa6ODjkWfjYLsYKunuH49T9JxF9eZKdX88EHY5j6RARcqqMo04tgixWPUj/KfcvJyHgON7dupKVdBgTTYvlyse0FCxZQXV1Nnz59bgmAAOaGLyCw+1USgs9w6TU4flyBSjVEKCksXAgvvghffYU0dy6vvirRpw888IAYNvr1gxefsTH5r6sYk4yoQ9R02tkJjztubyhstzfbb+g76gUIutYMgjIzM0lPT0elUjF6tDArNRrh2DExRjSWBvLxxw+3tIQD4Isv4Jln4JlnhvDee9t55ZUJFBdfpLhY3KM2WSI3V8hgx8efR6u1Ac1zm6Yq0MDwgeL+/jeN/4Cg/+F4//3jjBgxkpqa7WRnN+Lq2o7z53siSTc7E//xhxjoArxNmGXYeTKQyteKWF68ARyqrkuWvHnbqkLdxTpqz4jJq3+YP1SC3W4n02Ej7+MjXiQtQdDv2Yfpr1mCT8VuZDm61fYUCg2S1FoZqvk7NfU6UVo3KER6OOqDKCpPZhDR/xykQFqaN0FBD7RecexYSu56k8Tj3aj0voCsgID8odDtAu1/bE/QrCDOF55nb9re1uvZIH6XFr8FAqjl1DxL586tm83be/fgk2qJXyoqCNGl45PpyMo7TpfB4ENKSgzFxeByvhLrOTGpsvhUY+/dDo++WVQfqWbHrmxm9S6Dzl1oygH+Uvg1nhlXaNPmKefEJjFxElVV+wEFnp4D8fDoRWNjLvn5X/H0RImQnTKS280CD38fjoO9QSK7ifI1fjy0bTJ4Mptp0vLc7reA3BI1I5LdqfwygyoERznQP5D2n7TH/15/lK4Ser1gu6w5Ic6vHh1gwJgsMoRDk4ayblU+G+49x6e+k1Fkx9HJXk4CCXzR9QumOLKqcA82xSSUZa4M/ptfc+ZMc5XmlVfg7lBI29H8M/9JZDybQWO2GaOHhgmn7qB9bL7Q2wUCaUsJwbz0tp69b59DzVTyqcDVNZbExOUcvyqqoEqFTHa2qPqcOdMsLPHQQ7feZ5twM7z5Ma4qV06/bBRvRqOR0h9/JLC4GAmIdBCi33rrLd5y+GxsXvUjM+Y/CMjMnTuMH38ErlxhX3k5iXV1dPqb+2HePPj++9aMyLQ0WLtWUPXq6m5eR5Kal1/6ehGGnQY8rngwM2smI6NH3npHJhPs2MGBWvg4C76d+TX39JlD2fo6fBt80cZq6XnPSZq9rlrHtai1VOZ1YXn8RyQmJxEQ4MfEiZVs22anqgqULmIO7eHRBxd3h2hLmYXpd05nyJkhRLeLvuV2pXIJFSqsWMnRFAJKFAlehHe8jymZXoR3ED0LV68CKl8BgioqmOYuJnyhoQKsZGUJEOQRcYnXX1+BV4UvwcErhMP8qFHCmHfNd6Ih7RYRaLuLwJFGaHiGJlVzFeDbv7+Q1T571lkJ0hTW4eIYhFKZxBPsIIAQfraLSf+tQJAkSfj5xZCbe54G+3WUkvDyaXm6mypBYd7etFEoSDJ1pA9iEhrlL1CyvYX/0e3eCWN9fdlYWsrvlZV8EN183gM4R5GDUuwEQbscNKKxY8G3uQ+0t8NP6cyZM9id0v/iu7y8PE6dOoUkSTz22GPIskzpFoev0owAYWT22GNkr/4QyuCVP18mzScdKVpCzpBZ/upyph2d5pRPvzFWhXhQWh3PnB7NMvsTJsicOQO7dkktGY14D/Em7MUwcj/Ixd3gAxThoaqlo2sqHVvMXc36kaTXWrlaepU491Lu8qkAKjjw+zXW/SiWadduPhnZI0lNhbGT6jl5TI3mNn2OADbHtVA6wKgsy5wpOMN3F75jS9IWjI4kyhvz+hHr61B8PHAAyS7uo9rUGKrap7A0KYle2ubKU/fuzZ5fLWPbNol774WwMDtP9vMhdkcEroczsUuwdog3PVvcDzbAMm8eLF2K8sABR5FXfH/6ipBY7yR3ourPKvwnN5cFN2yAEBqYQw5Y1LDqIWy9zuLjnk2FixqjuS0eBlAHKHDp3gy61OpAvLyGAGBsqOKLLy6jkGDevOHInb4Vz6Ejxo0bh06nIzMzi8RE6NKlLQEBMxw6Q82T/Z5d9MTGQlqainN/xNFtgTDWPWWv5GBVFVqFgmG/H+IrKlBIEkdqLjPNDJMnwKefwubNpxi55hRSWzCeEuIkPhHTKGeFw3j1DH5+InE7fHg2ej1s3PgThw4dQqvVsmHDhlsCIKu1But1LxjSQOc784iMVJCVZWfTpk0sXLhQvGDeeEMkF06cgAEDGDECEhMFo2PjRjB/kk4dDqXTg13Rx+tv2k/LaEp+SJICfQc9lb9XYkwyOr//02F027dvX9wdoPzDD6GxsekZkym/mbTibBUA6N59FPAbooqaBIBCXcCAAV+zYIGCdu3qiYo6Tdu2dzrXaeoHGhPz70uFg/+AoP/x0NvrcLNWk1u+FoAgrym42xw0BkkCB9UhMxOWf2Zm0zYVZllchjMpXpxZGgx8AQxDq9Uza9btq0j2JpdxwD3cHX2anvr6etLS0oCWIEi8DO8MasvvxXkcS9fz7ltFLFok+MdN0adP2t/+NqurqEiZHMae6rgGVKtepGttDayGhAQjjY0mtDd0zyUG+aO0eVIjRRFTGuE4eEh5MAWVu4qzIWd5/UgzXSasLIxnf3sWv9zO4PIAhIsSWYXChYRBFpBgsKcXr8bcwQhzCGOvXuUUYfR2HU13d3eMFUZ+O6jn0CEhVpCcDP4/FIHBE2VDMDZtEXV1V/Ac2JbqI9UkHyyD3jAvKIhNjnlGB/0p8vJOERBwHxpNKJWVBxwASBx8Tc1RamqOOo9Zv7ANVQsC6eCh479Q9ACHtCvm5hGpvl5kA6E17YuffhIzvsBA3jOEkYoV1Q9FdKzW0xDVAJkQEhNC0OzmNGZgoLjXrmWV4xLhgtpRabe3mHkH1wTzXmUiw75PZEJiOAMYSwIJnOBECxAESrtERkab24KgigpxP1ksQofgnXegsKmS8Q9BUOW+SopWFpFPPi8ZSqmlgnNl4+CGHhsFNo4iI1xaFTSa1nPxohsgQEeWOpT4eDHQe3uLikYzLePmkB1TBYWkEM9pdDRcvUpmdja4utJGo0Fzi+y7h14JKjWoLAzo3wWV0gursRpSUvg8NJQf2re/aZ2meO898QcEUHvhhdbXu00boejdv7+YGEVFCfWiDL/eqCpK8Br1M48nb2H+lfmMSRxzewrmqVNQU0PaWQlzvszl8OvMvdOdolXieQ+aF4RKdXNGuykUJg1HOcLaZAGk163bQFjYJiZO/JGDpwKJiyohJgp81YNRe4hqi63Oht89fui76PEc6HnL7ZqKTOjQYcBAsrkIaEPdX94oXOJ54nIAF43+VL3u0CcxibHstMGA2VNQg0NCxJs9O1tglXG9T5AXtw2PrBZUKwd4bs0BuyGuXxepd0mi2M0NamsJlCQUXl5iUk9zT5BVdkP29kYCpFo7WMHi8BdSKHQolbfOiHp5RQsQ1JCBGzeDoKZKkF6vp7dKxR7TWPpwFqNdR982D4rFWzyzt7vWIxzHdrW+niKTiWCNSGoVqiO50/wnJxnQfCoOCDVJRo1qtY3evXsjSRLp6ekEIMDRkepLpJz5isObDwMQ1TWK0NBQai/W0pjZiOwqsyVgC/YzdtJ6l2O3AQpIU6ejddGyYtUKnhr/FCdOnOCrr75y0ldvCsfPas5+w4QJdl55RcnhwxI1NUJprCki3o6g+kg18vlgoIiM+lAuGD3pHNCZNh5t0LpomRrahZIGUQoy158htf4MySnFfL1M9KbGxQ0nUz0Y68Md4LtLXDzjjn7yIrqMO0aXwC50CuhElHcU4Z7hhHuF46v1xeZ49ypsFjYf2Mzv238nuyKb6OJo5tUsIqtSj0FRxiy3ABrzGnFt6wr79lFVM4i2QFF+X8yO5ouIW0y2b4y7776b5ORkdDod9UX1uDyRBijZMxaW986l3cVz+KtFkvKiFELJ4MEo16/HkuOgl6hcyM7OJisrC6WkpKPckcp9lU4QZLPBpo0yz5GKym5HE1KK6aeZmLdOplPVICx1dfT/OYHPn3XBLNlRn40Ah+qYj8/d+PgIpcO6+jq2/CzGktmzLaSmPoTZXEpY2ItIkoRer2fs2FFs3forhw/D+PGvo1CoUSiEXYQVsNZYkSQxFi5eLFr5XnxRCAzwZhHcBQ/q9fz42woA3CU9NXIdJ0uHYh0ShOrrn8nJsVFbOB+P/Vbseb7gV4jfoJe5fu5bwM6hQ8/Q0PAt0EBY2F4yMvS8+eZaAF599VU0mt2kp+diMuXT2JiHyZSP1VqJ3W4k9JPmW7V37/vIytrEqlWrWLhwIRPn+ULAKUHruU/jPEcAPXvCzseL8VhehB3ImdOBAf8CAAG4OuwztFoJXUcBmOuT6p3fH3SI/wx3vOBycuCjjyDe8TD5+NpJ+uvm7bZoeWTgQEhKGkli4hFmzhqM1VKPvTGT7xxiMunpMHXqXE6dSkGhUFBvrudI9hGguR/IbC4jLe0JvL2HERy84N9GKOH/BAhavnw5y5Yto7i4mK5du/LVV185s1H/bnHnK69ge2oGVZsBBQQOeQ+KHTOdwEDSjxfz7ruwfj3YbE30DHGT+4Sfo1Jjg+trAWhomMPzz3vw8cdi8nNjXM08R1sEtUDXXofvJV/q6+spcKia+Tqye3q9WKabrxeQR2JJItD/psrUvwpJasp6if6hhISRWL3TaGv1xU9hp9xUxcmTJxnW5MzpiOTaaDoBYQ5fjIRZCfSx9qFhcwNJ05Lo8FwHXgh+AXWtmrBjYUQdiEJpVWJxseDy44NInTTYEk34AqvXQaVnAldLjvB6sIWhQd6sio1lZqqd2Y292Bbdkf4NZj5Y6ovVUbr9YPUmXtodiAIFsjYGKKKu7hIlHcT575QAbSz5yKnrsTpAwl5pNHF1En1dApBlmaws4Vbq5tbdmfVqGQUFBvDuht3V7b8GgpqyPDVVzo82bRLqZdHRMGKE40O7XYxsAIsXY35pJ7WcJFt1Lx3vKsbaNxM+BE9PG2VlQtJTodASGDiKzEygLpDHOvfDvzyJyC7Qu0xJUL8gitcU01EvQNPjk1y4KzKKZ6qTWXEMEqTLxA9+F//l3/D0O23ZusnOot63z44+84zoWYmLg9WrBZYIeSyEkEf+mWST3WInbZGYmKcMSqHgr3ch0A+G9mm13KzOs5gUM5kFjyyiqgrgMZBbL5NZIn7T4MGi7eEmsawb9y07MrtNVMbYWAGCSkshLIyo20xUOncIh1fNaKxmlM8/T3ubP4lUw8WLbOjYkfejovD/GwrhvqSTPLVI5vqfIsOmUFmJHnSW+FFHCYjL5rHejzq9F87kn2HVkVXIQ6/SN70RqXQ/O6N28oDyAdTpauqv1bcSNXGGI1NYX9UZSKCyRI8x1YjhhFCebJLDv1XYbDa+7vw2Kw8Xgh0eeqgH0dF/YDbb0Oth4nDRR1XUAG1yrZQFPA9P5oMNCoL8UMYG4Bv1zC23bS42o0WLAQPVdQYwKTBd9iA3tpBoNFQ31IgqEBCmc8Vbr+dKfT2pZi0+gK+vAEEOrQA0GjGpdJVbKOqViioFt/HYASA4GNvcR7B5hVLQrwtMm0RQjx7YT5/FWmGFEjN2h+u6XXal7nwOGr0G5ZI1sGYXDQqbY/+ht33x63SiQtTYUIzesUhLUNNUCdLr9Yxzc2Ne+SCe4CvsywdybWjYTcvfLvzUanq4uXGhro6DVVXMbuJ1yTLliAmvvz+izNhkvOocZER4e3vTs2dPzp8/T4NkAhk2lx0i848fQLQekNdG0P+amrqvd77Ok0db0DEdBdDu5S5sfO4v4sPvwPyxmUceeYSXX36ZUaNGOYUpWoaiCQS1+K3t2kGbNrXk57uzd6+o7jqXd1EQvykeS6R4bst/Gcb7EXsofyHJucy8H4c4J2yAKJWsAiwAI7l+/XemPX0Be7/uHCn8lPJf3sD252tc6hTlNIJsGXoXPY0lLwLjSay4xg/f/sqrv97otpkGdsi8HzQb4nG9XwP79+Nr7A+Ap8aLbEcqPvwfgCAPDw88PDyo3F9JwqMJKAuUFHoV883wCGR9I08m1kPWg6BwRdt/KyjdeOzee/n6448BCYX2GQ4dOgRAj3Y90KXoqNxX6fQOPHoUBhbl0Z1qFDoFPo2fUMSHSLIEajW6wEDC+nlxuk89fc8oyBnzE+2zHmvdywutxJt8Ah+hsfY7srKWYLGUEB39CZKkYNCgBrZuhSNHVAQEzAbEu8IFG1bAZhDP2pNPCkr4rl0CAGncbZh6i0p//tebMJgMRBBBI43UUMfpa0rS71qA1DcP/jrG8fPejFk3Bjtge8SKWh+Kp+dAamqOkpYWRG2tN9CAq+tl1q0rID29DD8/Px58sD9ZWffesucX4IP34co5NQPC7qex7TJcXLZx8eJFLl++zK5d3RCG4N2gEGjWbEBZb2Ho5XSswFoi2Lnah0GLWzA9bhO9esns2AG9e0tOe4gmEGS3252VoCYQ9NxzIvkXHKTkUjEoFHYcTia3DTc36NABOnS4g92n17P+s69AOst908bRtWs1S5fu4+zZNLZt28a0adPYl7EPk81EpFck7f3Ec1xdfYiysi0YjSmEhNy6heP/Yvw/B0E///wzixcv5ttvv6VPnz58/vnnjBw5ktTU1FaO3f9OUTQOUIDXJdA6GpvTiOHdmqVsaN9syDXS+wwLq95lEw+S6PUaQzRJmNW/sZId2IHZjEb/fSqfboaRHwTQ9zGRATWmGcn7JA/vyubJpVtXN3z3+5Kbm+v8rKkS5OYm6Bueigq0Ki2VDWIgka6nAu3+8e9Smx2mjuo6Ll7oh8mci1odjO/1dXS3f8QBDrDn+18Z5tBytlRZqb3SgG+2yEaqEWDtiVVPgAKuma9R/ms5vAejGd1qX77jfPEZ40PawjRKyl3JQE8/KpmwC1YM2sT2ytPsvr6bzVM3c2/MeH65coVfXV15KCWFi6EhKF/WYjnyPpx4CdfjMgq7gmuh1wjTBuDWALW1l0iMbEOkwoegEgnzkS9Zoz7n3P9m2wxsbm2ZmVSCW5vj1NaeR6HQ06XLH6jVN9+XHTtqMJt/ICdnvNMg8R+F7HjrqwWtUZZFH4ifXwFPPWXF3GQjc+AAVCZDtBvS3PFILzqAzvBDMHsraY7KkVJ5lqSkyQBoNGF4+qYAWqgPZKJ/Eop7KhgAuPwYS32/QFhTTEhCN7oNmsnlmgRmDY3kz0U/cEfv3pw/f573uwxlniWGXCMUA9Jt2F2//y6AvSSJKpYjgS4mhf+wRarwm0IaUhtw8XfBPMIMf4Haw8Arj7ROiAyOCKHg5C9UVV3F08uLwQ/3pCL/OJX5PlTUmCkxVBAUamXNKyMZOfJmGuqtQtHoS+cjqSgkCZbgRE0ZteK6RN2oDdq0nuOlb5OAr79mBu68AnD8CqbZs/k+O5tX4uJuuW5yMswdH09RlkP0pNsa7ENfJc2jkDQjcBnGthvtBEHplemsvLgSOsKqDhCTuY46bR11verwPu1N2S9lN4EgWZY58uuveAFWk8ik2CxqitaIpmyf0T5oQm5NgS0uLmbWrFn8+adAGSNGwPTpF8nPv9lbbHU2XFNuYphlC0wW48SSdwTl99VX03jnnZ9uWqcxuxFdEwG1oQF1ugdmi4L68krKccFUp+bsWcep6QadfH25Ul/PhQY1IwAPDzFJKSgQbT9Whw27ZFM2/fh/VAkye0dydscsrFVWrqWeAoQoQkN6A+fiz920/IVooQap6CLSHZKDHnwrKlxTKBQi7Wo2lDgf+aZKkCzLThDk5ubGg0FBYHBh3pTuqFI9sdtFD5tSqaRz587/MsM6wseHC3V1HGgBgsZYrWQwD/gZf/82ogHEZhNNN5E3KxkOHz6c8+fPY5ZFVihW24YOQR3YnSdoahMmCeXM8l3iGvzVoTnVrFKoCPdoy+AzpazcVI9kWw0r7mDBggVs27aNAwcOMGXKFM6cOYPbDXTRh+s0+HORkJLWamt9+hSRn+/Ojh2tQRCANkJLvg4wQt+yEEIDWoO6O4LvwEXRnLzJ3ZdLamEqCrUWu3k1oKCTTy/kwM5s6/A2HLkPKtrD6Wdg8NvO9Xy0PlQ2VFJvqafp4tkkOypPFTaNDaVJCUqwSgpUVkEkdOuix8XPRfChioowKUs5Tx8yu0RR1CiqNE2VIFORidpztXjf7Y3StfWg2WBs4Nrca9RuEeNRjU8Nv7ywFa+L02hoHwxh4cTpn6VOHUih0o1wjYaPn3ySoytWc9VYiaXhB9asEWPYmCljkD6WMOWYMCYb0XfQc3JpKfMRNPrYKQXU7xTHJrUo4U8IDeWTB67T9wwUl3UnbNwj6PavaWWP0PLe9A95HrU1joyMZ8nP/5zGxhzc3LoTG7tXGACXWDlz5jx33nmnoPnesA2VoZIdxulcoRQJmbx4HeO170NqLXvXiyrQfOazXBI0+G56D9KrryAPHQZ/HePnTesYxyDsuGEaNxcdoFbPBo4yceJy9u+PAQoxmUayb59QY7v3Xonr15uTnAqFHlfXMDSatqjVAahU3tSkbKa4qoxAjyAmfeyHVjuJrVu3snr1alauFFYFfPQRpF2HMWPhnnvEdd6ZhbXCiq6Tnky3MAynhXKcQ9PgttFMh5PQtRfjpaXUgqXKQmJ2IhUVFbi5udG7d28OHxaqfQoF9O2v4PdfmxN8/zSCwtqC2wb8Ol1h8+bRlJZuIzl5H+vXw+rVq5k2bRpbkrYAMCV+ivN6VVUJMObt/e8lkvD/HAR9+umnLFiwgLkOR6lvv/2WPXv2sHr1al5q6q7+N4pjy5bg5f8s2AyE3LeJpCFT+PBjBRs3KbA3iptl9GiZN+bl0af8ErZDGrZKz6F16cbkjR+xhjXYsdOFLszDHSgCA3z8hJ4BJm8WLRIZ1KLvinDDx7lfzzs98Vnl0+pYbqwEWcyFTO8wlTV7xXFIJcX8V0BQG1nGQ6Ul/M5TmMwWtNpYunTZh6ZXOINfW8cBGbZt+Y3pW7phwx0T4gXcVHW1A3Hfx6FwmBJ2+LkDRT8UUbKuBGOqEaWbEs/+ngQ/HIzXYC/Kt4sXbEmxzM4gH/oVVzJyn8zdr77Kqmvf8dv135i+bTr7Z+7nfpOJAn9/ztTWcn9JKY1qJfgLP4Qh1TGAEbfRboT6DaYm7xfq6i6R7vkklrha4lNgqWIB2QNG8B6iajcwu5Ijbduy78ivdOkjSsJhYc/fEgABSI6BSk5NFTymf2pdbhfL2WO3Ax9x7hxcvAjr1w+hTZs0Z7IWd2AzQB2a5HFoHFlduToID4/21NdnAMUEBbXBw0NIKKnVgWSZzwCDCVX0JMTXQt5xBTX5bVm9bSF/rPXiR7S0rW8g4sMPuUwoh6P38VW/r3jyySd54IEH+PLLFXzxxXOAwyPqFiNGQ0Mzjevpp53+t/+lsNZayX4rG4DIpZEE2oUcXpxfHK/f1VpZTJZluk3oBsBzzz7Lq6/OdX63NWkr07ZNIy58EKNG3aZH5hahVXhx9YhX82WLFTz+TEfGIvo2IMhsdoHcfliVJrBdZGrf9rxy+jSkXYXGRlakp/NCTAwuN9wP27YJNaK6Om/c/Wq57/XtRHQtBBa2Wi7eL975965BXVk6ZCmvv92I3ehJWv9P8Pb3psuDXcg7nUfZL2VEvBbRav1XX3iB966J50AhlyEDehctJT+KCk7wQzfLFIOQiZ0xYwYlJSXolAre7mPnnsfHQVRzU54s27BaDVxbd5CD6nRSFft5cPhLFK8qwlJqRmnfA9Rgrqu6afuyLNOQ2tAMgoxGQhs9yAKOGrbzCVu5wziTgk87ERws6G69tNWsoZCE4lpG6KCuTgCcZctg5cpS7r+/HfeG/05uTYAgnNXV4dR7/RsQVH+tHmuVADJl9WKbTmW4lnijuWUBAGVQMCSAJIl75EZ57JZhszm2V1WJ+gYQ1NjY6Oz30ev1SJLEzEg/5iWBFaES6OsLfn5+JCQk3LTtG+Nub28+yM1lf2Vzpv+g7IqNkwj6D3DkiljYaT7WOoYPH84HH3yAGZGFmRV7FxWNvuxmN3feeSdbH9qKqdSE8ZroTdgdsBu1Us0TvZ7g5YEvs+rrVWQY/iKBPXT95huYMAFp1CjWr19P9+7duXbtGg8//DAbN25sNXH2bTTRCQOp+Vb+SBfHaLVa8exUCL/EsWu3lb8yLjAournyezjrMEbE9VPLSj61fwrAlVFXkE0yMx3/AdRZ6xh/WmhWhgZ+Tl5e8zVr59uOSR3HUzD7N8593h7VmRcZcX8WGg8BPD4Y9gHhXuHk1uSyYU0S/fiLxOw4Jo9aTp4pD5cAF3qc6UH/Sa7ccyWJQZSj8lThfbc3fLoGgIZ2Pjx/rStTvXBWgiJcXbFUWjjf9TyWMgveI73psreL87zYLXa2jtzKweMH8ZF8eGLREwx4awATPSaSnw9hz+YhP5bBdd9xzt/yXbt2aHx8mNy1N1dPH0e2XuD4cQGk5y6YS83lGir3VJI0JQmlh5IBZ8VvtI8KIijlRTIxsq/779iVMkMdlgjjfH1ZEA+n+0DfM0pyjrQlftYs0ejieDG0vJZ+Oj88PRfj4hJAaupcysu3U16+HY0GRo3qyPbtSaxbt84JgpoeCH3CaVBkwFtvIV28SDeFAjw8+KmbMNzl281YbQ10pCP96c8K2xcAzA4ezbma38np+zBoteSWlJDGaaIZjkkbhg746KP7mTRpCUFBubRt60FdnRd1ddlcuVKESgUjRpShUGjx959CUNCDeHkNcTJgmkJV8idQRqSfgeHDwWZ7iK1bt7JhwwYKCz8SvUReUXDvi3BuF/wymoYCmTOPimRS7JcxfOuvoFs34U+0bx+M/JtXVZs2bejfvz8xMTGo3FWoQ9WYC8wYU4wcPC6ocIMHD0aSXJx+RI8+CjH9vOFXcG3/X5OOf2iWO/puK51Kox4evRkyRCQ5jx8/zsmck2y7JtRRZ3SeAYjxvLJStAt4ef0zC43/K/H/FASZzWYuXLjAkiVLnJ8pFAqGDx/OqVOn/h8e2X89ZNnG1BET8Qs7y/DRBjws7Vk5pT3ayiR6Y6czStSeJu4IPE/Xcz+i33seu2Rn/gTY0B3CygqoGXCMPZf2QD0smLaAiE4RNDYIA6+kax4cfcZE9U+VTPQqRdJIyCYxaNSHFeEa5uoEPU3R9G+VyhONJhyTKYcZcX1Y0+8jPNuvZZHmXuCuG39Kq7Baa6ms/IPy8p3M/n4XM10EF9qt2IMuk487QcFjmt283agijzwuIxPnAEBa8inWueFp9OKqu4ahA72c21aoFIQ+Gkroo7fOoH59wEge4ZSg4fz8HRT90IHgYol2l3owds6vTN82nV+Sf2HWRnqEMgABAABJREFUjlm8H/4+6+Pi6HX5MmdMJvzCFuKWl0Q2EFErXpAT501EE2rgdN6TGI3XuKiyUtMF4lNgYNFAJveYzEe2j7BiZf6yIK5HgUvETqzWCvT6roSFLbnpGK9fFz2QdouYxCTf/QThHVTixXCbCUar83vsTmh/DaUsKFMrRIILnc4VhcIx8bbLzV2MWlfM+c09LI2lC+jRYxGyfC+wja5dX6BHD0FLSS5LJrVxGzCY3p7jad9+Ptkvvsxfu0rYiw+BgRIHjaHMrU3nQSmbM55uFLlW8cy+Z9g5dafDLyQfd/eVDFFMpbPSwFBPH6A12P7qKwW5uaKsf6PbecXeCop/LMbzTk/aPNnaxLNlFH5TiLXSiradluCHgvHbIBpv23jevM7+/ftJSEhAr9eLZtQWMSBsALtn7MZPd2uPndtFE0ax2wWQI38U8BnnXAQYi3J1paxMGOu1jNx0H9ijR+nw6Yp9/XX8H3iYsrJ8OJlM4dDu/HLhAtN7icy22Sx6f74Q720GD4bNm90JDLxBf/QW0dG/I9nV2djPdofaUOiygbfu/f+w99dhVpVv3z/+WjunO2ECZuju7m4BJZQUJEQRDFBCMEBBRFGwCEVCuqS7u3OCAaa7Z/ae2bl+f1x79szAgPh87/u57+d3fN4eHMjeq/Za17quM97n+xxPSLUQEt5JQHdbhz5Gj1M14VhkZWWxZNky+/5Wi4j0Bqd7YUw1ovZV493X+5nz7N+/n0GDBmEymahXrx5b//iD2tWqiSYXFVD7QnMn4eEaQ4JjDhHmNgRfDSbnaA5S04tAHrq0UjnqxMQVpKb+jmySsSzV4fhDEjyAsfqf6NN+Gx8Gb0O2Mdj8m15gycIyogpR8BeAk6g5TkpKRBhOEpMnz6BnT6EUZTHbItMlWSBbc+PnwiTmB6daDhjqGuC06BHkXMuZTtZO9s0uVb9EcUwx9Y7Xw6ezD9qL9+AIaCThCLwoE1RcbHM2s7MJdnIAZTGSUhiMJVkgEE4QiNvs6SkcoLS0croF/4g27u44KRSkmUzc1elo4OKCCTVQhKuzGRcXoMSZeo6CYdu2bXF1daXAlgmt06g+73wnnIshQ4aQmJ/IkoVLGMQgHvs9pm7Nuvzxyh/U9BFBtV27dnHp0iX69O1Lw/37hQrI3bv4+/uzbds2OnXqxKZNm2jevDnvv/8sXfJ87Dkmb/yw9ANZApd+FBVWYvKKLTz4vtQJGrlrJB5GHwoBBQoytmUQOC6QvDN5WIvKR8H/5E9yySVEW4X4hHEoFCBbZTDJDKs3jGH1hmEdAk1Pwa1bTjR8vI6vvy5/bTW8azDC7xwpcZ708s4gcbHIpFZfUR2ztyN37kIi1ejokE3e2TxyjuTgdUQYiInhPvAAkrNiiSvjBKWsSMGUIbJuOYdzyNiWgd9QP2SLTOSYSJLOJbGe9Xj6ebLs+2X2awkKgiFSEFsv5EKbLJTAt+Hh9LSxQKq2dQFjIdItkC2wYMECQkNDKVxUSN6ZPPSRYuxagH3aIBZ/UYTU4grhKhVf7J3GgWvX7OcK0Gpp6erK2rEFtLoMaXQjdOsYnLTjhJqLQlHOCdp6byvObs6AArXbPFz0f6OUcyjStGH4m/3YtWsYmzdv5r1573E7+zYlTpBm/idAGSra1avQpAkXr10Tad87InUynvFoyUaNGKPuYW4c67eY2pdOYW7bFo4d47jyHOGWbhgSDURHw7p1jmRlLeSjjyaybNk9AH78MReATp28adVqMb6+Q1Cpnq92plLa6kc1Yt7o1q0bwcHBJCQksHv3boYPHy4aXAUFCX741q3EnWoBFrgieXHrtifTpwuhhO+/F7S/u3dFm4GKYDCMQa8fY2cQOdd2Fk5QhL5cPdDKleI4np7wxReQmtqAL774gtB/05sCyIrOImFDAp4NPKEJaLXBVKvmh7NzOjqdjk5LOmHxtTC49mC7bHl+/mUMhjiUShc8Pf/jBL00MjMzsVgs+NuboAj4+/sTGRlZ4T4GgwFDSXQPyM8Xqjwmk+kZffX/mzBYjFyPPkzSaStrN0IPBx8G669SjWqlKeU8MOXV4RqLUZFLVPWbRDseQ3XyCjX963Cvl4Ksc1kEBwczfu14FFYF+RfyGWTIpUFOJI4pergKNpkFihwKOFf9EpX6JmIyvYanp6f9elxdXdFqtfZ74uzcEIMhjnAnE4FOelJcMrhadJvACu6Z0ZhOdvbfZGXtIS/vJLJs42SpgRwPHGJfod6kZUiSs/34Lrkp9Bsxgh07dnC17xVe/XAQTnWcUHm0Zt+4VPjrCUont5d+Rr/+quCLX8XL69RrIZbGavb2h4mrIOmnJLzf8GZV31XcTbtLdHY0K+JXMFgxmN+qVWN4VBSZoYMJuDEb14ACPFPF9SeFWHE1e6JSeWM2Z5GYd4vMljUZthVSN6aRHV3IW/JbWLDgUeDCgj1XqDrlPsgKqldfjcUiYbGI6z92TGL2bCW3bpVM+hqgiN7sosWDAr5u9yntzy/gn8i47W7FUDioAe4b55OaamLzZhUg4eRxmtqNxSSrmDMH5apVWPv0Ib3lUlI/TsXKTED01TCZTPbeJl5eXvZ7/PXZr8FFUKDkQl9MJhMbInewkWi+6fyE6YcPYzX5cqtxEkQXsa/BI34df4JVT6yM/HskU6ZN4es5X6NRzGNanVooLipQ7NRR/KoTShfRzyAvT8M33wgP4osvzGg0MmUfceGDQjK2ZCAj4z+5/HteAkuRhYTvRI1B0IwgzFazvecR8MyYWblSNNgbO3Ysrq6u5b73cfChR9UeFe73IhhlHUqVGxazwuagBAHTcfU+DECIWk1mmokffni6JkoCjmHFCblBA8xdu9K7dxfWrVsH2+5Al8YsuJ9A35oNOXlKwdy5Su7eFWOm5oA9uA1dh0HzPSZTxRkZEFG2AzEH+OzMZ9xOuw2KWAAGVH2FSY0ngQQenT3IPZZL4s+JVF0s6E2HDh3CZDZTGzA6O/PIZmzL18UM4jvCF4tkwWKy2M915MgRe5+MwYMH8/vvv5M6L5VL+yMJmhWE/+hnn6G6UghvnYZv28KS80v42Ud48pJejD2NvoH9WRQXJ1BYaKuzqAGONuPeTZ+Gr1MaGk0RJpNwtLSaIoqKhFPg5CRojXqrlSdPLMydawQKgfXUrDmKYcPU5Oc4oChW0Dy0OSaTCSk5GRUg+/pifsFYsFy+CjhB7BN7M1JfX99nxo/SQ1CUDJkGTCYTzs4lCmHCeFPhw/bt2ytsthkRYROxSU/HI9SRtkVNATFGc0RhGw4ODlitVntWyM9PRU6ORFKSmerV/7keqAQKoKO7OwdzcjiYmUktjUYU21jB39+KyWRCGRuLAjCHhSFXcG+USiUDBw5k/fr1DB06FHWtWly6dAmFQoGhhoF6P9dj1GVRz+HcxpkTI0+gVFTQ4+SNN5BjYpCiorDMnYv1xx9p0aIFixcv5sMPP+Sjjz6iZs2adLfVJfn6y5AKPp5qGgcIGqgsy+Tn55PX+DxZZ4dgedC/3Hnq+dbDTdsKH3MbqlGNnGM5FKUXUf2P6lA6tMkqyGL79O1QDK0afkr8FRUfucbQIy+RwjWuRKaXOspf+8MGHFm+PISpU834+kL85/GYMsV5C2LFwNWleCAbZTx6eODxigcnT5qxWlU4h2oJeMWflB9TiP82Fs9zZ5CAR2bh4T/OvEeOWVABKymVxB4SffnUfmpM6SYeffwI1y6uPJn5hPRN6eKhWqFYW/zMPZ76rsTW9vVQ1Srk4iGJhgGl636ixgWug8YDYiZ/gv+HH2IymdDW1NLoWiOy92az7bCar49602eIGuVfwvG09u2LyWZPlD1fX09P5tUqIKaDmmpn4Ik0gbrrP8Pi4IB1xYpy8/bEvRNFH/Nn8Igdrw6kSpUqxMbGsuyPZay2rGafch8OFgcq1fwcOfkWUkEBclAQ5vr1MRkMXNPrYd8+sBpwoz6NaISTUxRKiwwGkKr5EeoWyjdZxXzQqRMcO8YBxS3eslgpTitm2bISiedxhIam8fDhMrKz3Th6NAUo5v331+Hj0x1ZfvHa4eSaA3pwrVpo32706NEsXLiQ1atX8+qrQkxIMWkSyk8/RffNBlIjBUV+rVyFsUYLJpOVOXNg0yYVDx9KLFli4eOPreXud8nfSUkKbt1S0ry52M+hpgMcg8zbmZw9exaARo06MniwCAh99pkFNzcrbm417Gyqf7MWRkREsGbNGnr16sXbNoqHm1szqlQ5wP37YEoz0bNlT1b2WWk/bmqqoDt7efXHalVjtf7P2eIleNnf/D9Oh/u3+Prrr+3ytGVx5MiRl2py9t+FYouFpjXq4uqQQuSTTA7pz3GIc3hKjtRXuRKu8SVYG04lRROC8hrhbPIgPLozC6M7M5Y3Ocoxru26BUB31+6cb3keZbQSySAMJkdEMOyhwoXzFh/uaN3Qtn+fy23XMTO3FQcOHLA3SQXhBB04UNrITaPxxNERHsXsoW9GAKv9H7HMfJHPfxSLsavKREPPfBp55FHNVWcvUAWwWCphNrfgwt9KOv/6NmlNdRwOK1VGK0G9evXYsWMHG45vpNPrnXHJF5P84xx/nHAlCbncNT0P585VYulSm6xK+4XoW38O7n9zsDe8tVam8FohR788irmZmbd932ZGzgyu5F9hztY5dPbqTAe1E2ec1NwbHEn9asA0SPODzsf30txiYWFQELm5WQTK1znRuCZRNaBmtIzxbCGDVcPY8L4Fx1/MVB0g+L2aK0Gczk8ChODEzp3hrFsnKIYqRQGV5S+Jk0uU+l7hCpfpqtvLoFZ76f9NHF4hzzdgbtQ/wxfj8vk1eheXDlbGYKiHd0gsvc9UhbO2jbyBT0BjOsamLx7ghRfFtkUxNzuHAwcO2BUB4+PjOXDgABnGDP568Bc4DwQgKiqHAwfOobcZwhlZWfZnoZiiwOUTF/LP5DP8ynCaBzZHLpIJyA4glFDi8uKYfXE2X/EVOQdzON/gPLovdMheMtu21SM/XyIsLBd399M8/Xg1DzQ44khyajKPDjyq8B5oDmhwTHPE6mvlmsc1OACXb1wWvyc1vtyYyc/P52+btG+1atVeajy9DB7rH2MZcgKH5E7087XRZU4e5Ucf4cQ+OneOx3kqXnutvMKCOfEuuy+BlmKu9u7Nrd1ruaKxFbJE/w1FI7lfxQu3lsUQKaKLrq5Gpk69yVKHYUTFGOh7tCf+2oodxLsFd9mQsoEofRQADgoHDJIZGaidEsBB0eQEVSsVzsecSfopiciakcgBMn/8ISg4fQBVnTosvirqW6yRQoksKjyKiAMR9nPduXOHBQsWYDQaadWqFW+88QanTp3C8aYjmkca7l64y3Wf689cY1BmJtMuw7LWcCb+DJF5kXjjjSUuGLhDRkqR/Tmd0FajQLmQmpclWv6txJq1BbjBHn0v8owdyM4NRmsVjmbWteb06fM3NWtms3ixeBkWOTlx+cp2QDjCKtUGkpOHExfXn5LWvBecgAMH8L9yhVZAnlrN6ReME5+IR0ATrFYLERHifiQlJT0ztpysTqhRc/vcbUwaE/L9+6glibkjxPsdffUJx08/4cKFC0+fohR6PcqEWA7Exto/Kqnj1Gg05c6pUrUFfDh8+BZ6fRLZ2dnMnTsXtVrNDyWpxOegkkYDjo4sfPyYNTEx4GyFAjBWS+bAgRg6RUXhDlxNSCC9gntjspow+Itg4+6/d3MzQTiuqjAVH18RHb9b2HqIuFZz5fChw+X2z83NBeDanTsEjBpFu7lzkVau5GzduhQEBxMWFkbXrl05fvw4Q4cO5ZtvvqFy5cp4+zgCGnqEVKdjwPzSAwbCTb0vn5+FjKut2bfvgD17O8VtCnHayjTQFaJ3kpD1MicXnsTUpbwR9PuW3yksLiQsLIxjMaLxq9nZiDIP3JMLSP2twL6tA9BD48BGXSjvvBPL2LEPcPndBWVKSa2OkKgrznNGVskkDEwg7mAcW7fWAGoTEpJEVJ0oXCVXco/lo8cXhZeOAluRp9FDLLCuVitn9h/G7YIbEhI5H+XgtNgJQ6yBS/6XkKwSskImvm887BVCJRXNedWrd+BhpCffzYpg2LDSRtdJCUL0XVKC98qVHGzaFLlMDY8cDt/c6k42WoIDL2Be+QdK4Gr1GjiNm0YYcLTMedwVCnB1ZekoIz+fgwxrRzKlVvisWkW0Xs8DW/0LQB3nOrgVZOFQxi4pgdfr4xmRbmQhcHzTceq/WQ+VrEWJkvMdutBn1VmsKhVH58+n+MABYpRKijQapF27kIHGjEFCQiPH8eZHH1Eky8QnJKD6+mveXbCA5b/+xBNnZ/J0edzjHobLRjYeCwSUNGt2mTt36gNruHTpJIWFP+Dn54fBYHip9STXwwPS0oiQJPv2ISEhSJLEiRMn+OOPP/D390cTGkoPtZqE+40AiPFyJCLbjQcP7nPggOhlOHx4EMuWNWXBApmAgJP4+pYq/h61qTdGRdUEapGQEM+BA3fQmMSaeujQIYqKivD09OTrr93IzpYICcknKOgUBw7IKKOUaI5psARZML5i5GWxY7eYA69e15feD7WGkBC4fx/qF9dnsutkzh0/Z9vDgqvrBhQKiI0NIybmv2ZN/v8KvV7/zxvxP+wE+fj4oFQqSUtLK/d5WlpauW7dZTFr1iw++OAD+7/z8/MJDg6mR48euLk9P4X5fwP9e/Vi0NkzRD56DOt+RHH9ITnmIs6YijhjSgfdfUrkQtROagLVgTQ3NafA1lgux5SJJ568+uBVVLZHo/ZT49HdA8+ennh08yDcpGb9CCW3zing6J9QVAvvXlfp06cPjx49Ytu2bQBUr16dPn1K9dvz8z25e/dPnJwe0zJlBmvuFXOxymk6hB2nbyA09qCc4xOZD+lyDaZ12oajYy0kSWL2+Instc4g/G4r1rVfSoGqgMe5j9HF6TDEGWhYpSEhQSHEJ8azafMm2nduj4eDB7FNvFlRGE7tagamd26Fp4MnRllmpS17URbx8bAiXoHcLJvG7vfIqrESo6kdqUoHtH5qAqZ4cueHOzhvcqbHRz1QOanIO5vHZ2c/Y23aWqYNmMZaqy9h90Uav+pjMGNmkflrGHOCq8DUmj48fAhW6yoUow18+8V4pn1txUkHv70F11oo6K8+iE9QEpZsb/rtO0b+nGpYrVuQ5RlAIqBGrdKiNOuIK9dfJYYaYe8Q83gDu4r7c/B9Ix9+omTGDCsV+eg/HhKRszg/A6fW1AWg0/AIdlRQ+9z5Xme8dF7IlWW0aTqwQj2nfHr27Gl3gIcOHUpISAgfHPkACxYaV6vMTcBk8qJPnz78VlAbSKLI2KTc+ChsXcjD8Q/R39NT/Ul1++dzmcs70jtcli+zhjVMdp0MiRD4YyBef9Xm8GER6vvpJxe6dn22X0BSVBKxxFK5cmVq9HlWIECWZW7OukkRRYTPDqfSAMHRP3xHGFXJluRy1/nzzz9jNptp1KgR75RtGmJDSmEKRx8fxV3rzis1Xyn33eWkyxyIOUB2UTYBLgG0CWpDu+B2qJVqridfB2UeRs9wzjoJGpV5QnVkhYSLwcDwXr04lpvL2bAyMvJWK5bILLgEJrUCy9uvMHNTb/IC88AZ0GXD1tMwpgsMTkRa5k/TXg9Y+211agQ14dvFYtx069qNYLfyEkHXU64z79Q8jj4RC6GjypF3mr/Dhy0/pPqSfAqBWtXr0aePKMCSe8vcP3+fvJN5hOwKofae2kydKmiR3YEms2axePBQwIwVC64tXWk7qbTnw9mzZ0UNiNFI37592bJlCxob9S36y31koKGOgyOV+jyrMy6p1aiWLaNDpjMn/HQYQ8WCK9nqyBw8/ejTowcUF7PmyRP25ufz/hXgKuTUuATcIK7Imz81rZkwzI1NPwsO+71ikdEaP97dPgZuJyRw6c49+7ktlnMUFECXLn14WmRLsinDuT01Fz6N3JuHuY/IfhhtRmqfPn1o06ZNue0iNkaQfSObWpVqEdwnmFSdGx/KI6jUZCegp0loU0Kmt6dz5/LqkenpMHWqBIiahqKYs7z3/TYCAgI4d+4cV2zqD15eXuWuc8MGJffvQ6VKjenTpyFxcXEkJyfj4OBAj7Y9yp1D4aBAobWpd5plambp2XbrFhYUJKOgpJBJ3yOfPn0GoJoo1Jua9e//DCUuqSCJQVsHccvpFoGKQFKKU3h4UYx7Yysjblo35jecT/DnYsx2fK8jmoDyNMlvbEqWjRs3puXgwVivXkWxZw+d9u/HYgtidOvWje7du3Pp0iV++OEHzp8/z/HVx1nEIuSTMl19u7Jo0SJMJhNHjx7l0KGPUCgs5OTAnDkyZTUVXIrDacAkzGEecC+HyjGVqfNtaRY+ISGBw4fFnDJ58o/MnOmMq6uMvms4P613pVd7E506lQ9WFWVo4Fc4fLgay74MomhQHMXRxRhTjRRG5aMwiTU6eEYwoW8J1sKvvwonafDgQHqP603Evgiy92WTxGCq9cuhhqORQylbca6ZRjb1qe7qSnvHRtwx3kHpoaTHez0obF3Ig4EPMGeZUborqfZbNXxzfWGvUF+raCzn50uMHg0HDtTi22+r2Uvgju85AxzDoK/KnlZVsFgsyGXGdWwsZNQrQPtY4pMGqWjz8kisXZtr3fpRt5fITHT/vQVqm+MkyzLLrl8nspqB4gmeOP6Ww0PPz/HMHkDtjRup1qMH16+LQEnt2rXRzJyJcs2KZ64XcqkCLARiI2KJ6P+A2BnpgJXKD2ziTqNH02WM6Dv4U3IyfPstclYWXl6V6JTdCSjArSiSdw66Y3xvFm6m+zgsXoxkMvFZzBPGtG0LR45wilNULWxJfr4Wd3eZmTObo1bDBx98wJ+2XhRTpkyhX79+z15mBVi1ahVERVGjfftyz2Lr1q0cP36ciIgIe4274chN0jaIdzWqVQ04ADVq1KKPbS3s3RuuXbNy7pyKgwe7sXmzxT7eu3fvjlqtZvny74GupKWNoU+fz8l1yuX+yvs8SBe1ni1a9OLIETFXrlnjRMeOQmTqUcojThw9waHAQ9QLeLZBcdWqVRlbpnfa4sWL0ev13H8ogjj5RbL9931/ai0lrLqaDjXp27dv6ZPMPcX9+zmoVJ506zYLheL5aqj/N1HCEvsn/I86QRqNhqZNm3L8+HEGDhwIlEr+vfvuuxXuo9Vq0VZAnlSr1fYX9X8S7U1mjtSpA18uxnpmIJ/V/IxKRZW4f/8+d+/d5eLNixRlF2HSm4i3/VcWM1rNoEabGjjVdMK9rTtOtZ2QyngnIcCJE0I3//vvgXOzOO1ynZlz1NStW9e+XVhYWLn74enZEoXCEZMpg2SrK7UyO/Dxu8sJLVPnb1RVo1jTEoO2BR4+ftRxrYS7ewPMVjNJ+UkgGbjJTfyL/Wn53gDuxvSD3FCGWVKZHFMLJ5wYwQi+5mvO7zvPO/vewRFHfnl9G3wxiIioRAK+H0Ud3zp832cVH8Y+JzrxNrjc1qK9NIs/f/6T6KrZTGpbjOeff9J2125yyYVH4FPJh7FTxjJ12lQ2Xt/IQ/1DJh+czJr2q+yHqhet4Tu+4Vb2CftnUVGlfGPrunXM69aNUbdGkZiTxfit2/GOSse1vehWqvzpbbrkG9hhuQqMpJRfYcJkNmEC3BSe5FuLAMHxjn68mY2fdGflojBOWzqxcCGsXatkxgzRS63s4i1vvkhPnRMJA7OJjZXw94c/Pu3BJkfbvXllABw8BJ/O5XbyKxRSSNi7YfTZVp12qbVo0NyN7OxsTCYTCoWC0NBQco25rLm1BoCpXYYy7mtIS5NQq9XoZUFRSrQGlB8fLTxpfqc5BdcKKHpURKIpkVHXRxHjEkOrwlac/eEsf/EXDVs1pO2ttuhu6bj5ZhomUzitWlnp2VNVoQpbSWd7hVJR4fuZdyGPoogiFE4KKr9ZGZVaTEmN2jSC4RASFlJuvx02KZ0xY8ZUeLyY3Bje2vcW9fzq8Vo90QQrLjeOifsmcuTRkWe293P24416b1AjoAX4dcIKpJWk0W1OQHhCApp797CEhJR+VwI3ERG2IDFw60DyDHk0D25OzRE12bByA+2SznOOLtAlCdm5PddM2bTY5MTbzd7GbBUOsKPG0f5b7qTd4fPTn7MzYicglLYmNpnI3A5zCXQVlLlQXTb3gcpOQeXuQc1fanK1wVVyD+dy/ZfrJCQkoAHaA05du6LQ9sFq+Jub3GTKhCn2fS9cuMCAAQPQ6/X06tWLHTt2lJtjFakpgCeKjMyK51gbnblLnIITfhApRRJIIApbD6wEYzHq48ehf38mtG5Nl0qVqH7+NSAArUaM86D8fD4MD2fEFyrWHc2Fh5BVSYW/ASZOVKJWC+Oymasrdt1sQJaLgItkZXWkiq9OaMs7OICXF9gCAwo/PxQvWBtUKgklOhQKg51WGhQU9Mxv1fiI8WDNs6JWq0nKcWMR6zgatgUA53wN3q1rUrNmebGZknY8uLpBQT7pUdeJj4+nOL0YtVpNsa02xNnZudw5S/p4ZGSI36+yFZ/LxTKXfS+XO0f49+EETxdOSd6VPFLb3WJPme9fAfKBTK8CnhQXU8NWL6UODi6n7mW0GBmyYwi30m7h5exFNWU1Uq2pyMjU6VqH2TNm079mf4xHjNyT7+FYwxHn4GfrrUqaoSqVSvGbliyB/ftRHDqE4swZ6NoVtVrNrl27aN68OdHR0YwZMwbXx67c4hYkQmhMaLn7cfPmdaxWMV4iIsqfr5GLmGe82nlgvpdD7rFcJL2Eyl3cs6+++gqDwUCHDh1IietJKzIZGlqAzwU9OorxTFRhTnXAMdwRpbsS2SBTXVfMCo+7eOXqeFK/uNz5FDbTKTHImQ5fhKFQKbBaS1XH27cXzyx4WhDZ+7JJpSdhXXQ0yNsHgbNw9xxNAvWp6uiI7qjIzru3dUej1eDVzotWsa3Q39fjVNcJlYsKxWqbEiFShe/gG2/A0qVw+7bExx+rWbfOpoppFPOTrHLg9Xk2gZno6PI7z4N6R2rhtvl3AG6MH8+nOis7bV8/bVsN8PHhh6Qktr+l4q0DWgwJ8KTpT1S7/hbqCRNoEhwsClyOHhV6zaNGPXO9AFWALh9/zIlTp9i8eQvfcR8ZK3uuXQJJQvHJJ6BUsnr1ahb+8osovgVmz56Nz0diHdZpIeVGe3RjU2jAVziih549eWPePGb/8gtJR45wmtN0jZgMQPfuEk5O4rdcu3aNgoICJEnirbfeemn7UfVERSVlJX5f/ztJNZL4orNQEBw3ZRzHjx9n2U/L2OC6AaWbkuGJwxiIivvBNzmUYwR6IEml8xnATz9Bkyawc6eCk6fAodpF9mfsJ/pGNFW9qlKgzwCSMZsLUKvVuNUXwf4ruSJ4EhnZHVmWeOMN6Nat1KS/n3ifd3gHUmDv13uf+R2dOnViwoQJ9n8vW7aMrKys0g0UTqjValIKUvjh5iHetYneRkZGlLtX2dlCJMHX91W02n/ue/R/Cy/9PP+br+Mf8cEHHzBmzBiaNWtGixYtWLZsGTqdzu5J/7+G3Z9/jpSYKHIDBiVf8AUBLgHIyOQp8ih6rwilQcn8OvP5+4e/iY6OJj+/AJDp1mAssy4+W3z/NNRq0RW5YUPRBP3IsaZkZkKDBg3s2zR+qu20QqHFx2cg6embqDvyC5a65OPoqCPXCNcLKzOw2W+E+7XlduptLiVe4kryNqIyo8jQZ5Cpz8QqW3FSiwinTpIp3P4HGETRegEpxCueoHHPprqiOr45vmRYM1jvtJ5ejr3Q+yTCJ5+ICl8dPOABvT5vj7NLCCqFiqZz5uDfogXnzkHC8RNw6nsKlVnc1huZwAQaF3SByYeJtDV+06g0mM1mMvWZfPvtt/z666907teZ+JrxHHl0hE2Bf8GEd+D366RGnOIgB5FQsHff3wQGBjJo8BJ6991Gsc7Cn3/C6NFTePvtVkguVSBtMlmAbgcYdc1xPdGFV4OiyXF6ixN6CzCY8NDvOSD1QhkbgRwaiu+Ri3jVXIQVE306xnLg9EHW39rGyVF+7Fi/go/UPxCXVJnp0+Hzz2HkSBg9WjRPG5mvI8yazbxDQmt/1ixwdVECSmHEHT4GVihsNJTCz7OQNBKB4wM5mXmG8645dPQJtNNpKleujEql4ufzP1NkLqJxQGMGNWvDOKCgQKi4lSStrNKzFD1JknBr7oZbczf88WdJyyUM2DyAs55n6V+jP3uj9zL3+FwOLjqIcqaS8MsJBBPAxx9rn1HQseMpRa2nkbxS1GD4DfOzGywA3oHeUAvcQkqzu5mZmZw/fx6AQWVoF2VR0uenxME4+eQkg7YMIs+Qh0ap4bU6rxHuGc6jnEccfXSUdF06yy4vA7UntBHLflD0ZyTmJ6AJ6I0x6DXCkpNh40Y6HjnC7WbNhPTyN9/AX39xy9ONMQCylXR9Og39G3J01FGeNH/ChpUbuHzqLM2GPORa9eoM00wgxucY11Ous/TiUvs1X0u+xu1bt9lyaAv30kuzHC0qt6BP9T74xPpgbmAWCoGA3uc+1ItmtTKcR0lJTK5cmV9+gW3bnGjayIu+V7L4fZbICCv9m9Cg+w8Mjc2lc6dAjh+GE9IJnPqJtOTly5fp3bs3Op2Obt26sXPnzmeDTBX0tSkHHyFC0fxRMTSHe5Z7dKYzNaUa6OhCoH8phbD/xYvIKDjLeKyA5CqizUH5+Uy3NcwIrVlM9EPwr6rn2IryzTHdExOhoAC1g4I2La2cPg1wlJSUjlTZ94eoMn7tNdi2rbRH0IsapQKe9Uy0ZxAF9VpSdFnQUSpiIqg8xPg054qxZZGsuLtnolILxzj82lSqp/zOqbGn7Pu0+70dd/7uCM6fg4c7FOQT81hQy0zFYr+y8thlUVIqW0KUsEvlvmzn4TJwxBEjRsxmWPfkCQtkGZRK+7Mrwarrq7iWfA0vRy+uvHWFxp80RkZmzqtj+GLr7/agRsxpQefx6OhR4flKCuTtY6Z6dSEhuXw5zJgB166BQkFAQAC7d++mXbt2HDhwgAC1iJB3DB3MnDkflzvm1q1bOX9ewZIlULmyaCVQguzPsuEGVO/gQNxpJ/QRetK3pVPprUpERkbaqaETmIDvzxcYgBXulTn4E0hZxTOoW+b/1SEOuDd3wbWxK9tuufD1dhfGDNEy0jZtRUZCbq6oXytZij2843AiFj1VSE2vgcJBUIV0NuGWUAcH8s6LGj33dqUDXeWiwq1l6dxntQnhPO/ZK5WwYgV07AgbNohAm7c3rN5uswPMGgJuGKjDfSHY4+WFLMO5c6K5df/6xbBYUGt9evSgemypMSxby4tLDPHz44ekJP7SZzFnWQ3iX40k8UY43u2m4nluOTyy0Z5lGUJD4QWF+W+OH8+JU6dYu3Yt+SQBJnQKfxg6FKpX590pU/ilzIPuP24c06ZO4tSM8yDDrfeWkPDDz2QbHxGglPGa/iF89RUqjYavXnuN8bPnk12cTXTmXaAHPj4neffdHTRq1IgbN4RQTNWqTahc+fmiJk/jVZe+TLdMZ7nrcgoMpRTKDl07iFLSRMg8molDFwe6XBJy0Zva7sB8TdRYlQgclKBBA9EQ9scfYcCoeAwTuoPKWMK+h8QOAOQZxDjR+GsodismMl/UzcfFdcXTU8QZyqJN3TZMZCJ5lfPwHfTsHFi9evVy/37rrbfQ6XScup7EvYtVcfIR511wZgHJRcX4VFMDJqKiojAYDGi1WqxWIxkZwgny8xv+9Cn+n8D/uBM0bNgwMjIymDdvHqmpqTRq1IhDhw49I5bw/wryInKRdaU0LyuQnCMMPVeFK16OXmwZtYVuYd3Y88Eee8pOiZIBrT+o6JDPxZgxwhm6c0f04xg5MpAPPviAK1eu8MYbbzyzfeXK75CevglvX9Ej5EFsQxZmxpKsS2LB3RengtUKNbKjGC7nlD7IhiACqqXRsV8iN/Y3ZczDQMiBTq9G0b5KN3Yu3cQ+h3003N6Q4OuhPFy+s9zxZKzo0mMBmO7tjSmyNpsmSSBdAllMTkVADDHEZMZAJvgHBrLy11/p27cvUe9HsWv5LtYp1hFdGM3ezXvxCvTC0N7APMUXUNwD8lVcSRQvqCfv0KZNXzw9Ibj1GnyGZNDZcpxTp3yJi8tAp3sFdKWKhJJChd79K1yRyE5N44Q5B1FUuYQfC+ZQIzsCQkLgzBkICcSZBRTgygdjTnD43BEOHTrErePHeW3/EPplh/Pna/tYersbDx8KO2D5cqhVC2bIwqjQFWgIC4NJk8rcpN27RQOUBg1Iv+IMZOHdzxuNr4bCJ13wLAwgJTwInUlQVYJ8g8i+l82OfTsILg5m5oCZuLtLaLXgYDCSeMGMyjYByxU4QU+jb42+/NznZybvn0yoeyhtact563l+OPsDY2osxDs6i2lO0fTp82yqvcyDtt3QZ78y5ZrI2Coi0oETywsDyLYdFWWcqwMHDmC1WmnYsOFzFW9UCjFGLVYLuyN3M3TbUExWEy0rt2T9oPVU9y6d+E0WE0ceHWHt7bXsenxW5PhkC4kpot7NaLuGsIwMOHUKtz/+oMH48cJTta04Ll99AddvgdWCm8aNva/vxd3BnUaNGtGmTRsuXLhA6I0bXKtenZNhLYirPIgTnbP4/PTnXEkSkbwBmwfABeCpRNUV238AtWrVItjmJKQ1PQTH1rP1w90cjE4kNmI5J4735erJ9pz/3kCrGIjIFvsVvdKMR6+b+T7pMd9f6MA9dpMmp7Hg2wU0a9aM8ePHC8WfTp3Ys2cPjhVJgZc8u+e1m7AZ0o3jhVF/zyqsy16WnvSlF/dccwTvw2bs66OKsDa5i8JRQVqr2nDxIMoy3aCrV2uJroGJXq3qUe+poXXbphoaWNuTVq2ybE7QEZKTF5Q2hCoxvF+iR5D4XeKHpduyfE5OTnaVtrJQedmcoGzhBCWaMvDxEdHGHCMkm/PxKsoqt0+mPpOCxGDwKwYXD0hIQDbaCp9Ft04KC0WN1r9xglrFtULjX4Z2UqatjFtrNzoUd7D/25xnZrP/ZgB6hMJPOTl86OKCp1YrrOeS7axmFp4V8ocLOi8g3Cvc/h7WC6pid4AA8k4Lg+ylnSCATz8VTcRu3hQdoUcI2eqmTZvyxx9/8Prrr5NqElkKvxYtCYkI4VwfUXfganRFo9HQX4a2AElQKbE2Td8WAgWn3j1FPPFUV1THf5Q/T2Y/4dGHj8i/nM9bO97CarXShjYEnQkCrGRIWuqM9sStvjMO4Q6Yc80UPymm6FERVr0VSS2hrazFoYoDH//mzJ4HLrw1SE2J2GLGx5BN+R5k52wlEs2blybXpJ07qcwdHvI+Sasykd5RgAx6J0HBqKLVkndOPGD3tmW8/acQ4CKccld1BV3TbWjXTtgD06fDr7+WfGp7vkUqUj/syRp+oE/Hv+HkSdb8LnHyPQgIgNlTFon3oF072tSvz7TsU6UHtpRfK9q4udHU1pB3U1MDr00IJGVVCpFPhtO08T0W3TwJwIePHuH8D87F4EaNeMfBgdjYWPu1Fvr5snP+fB7s3csvv/yCJEnI48ZBz54Mbd+ee1F5qGQZIxJHCqtwlB0kEE+bz7dTa86r9mOPCApibuMOJFzcz13rGaA6K1cOsguPlKBp05ejwZVAzskFoJ5LUya1HWv/PBlnpi9YwbKx76K6oWFJm79wK3bDFAzjCpWcjCsiEvt0Uw4j3otixe+eGNKqoLk0h0Z99lMlqAqPcx9zzTYBx+fHcyHhAm2C2xAREIk134ojVSkihLVrRcuvsjDJJl7ndWKcYlhR91lK4lnO8q78rn2NtXa1cvbRWZLzW8PFpSi1d7mdeptfr4vBFB7eHDe3C+Tnm7l//z5NmjQhJ+cYZnM2arU/Hh6d/tV9/N+C/3EnCODdd999Lv3t/zV87PkxJl3FqhQWJwsDJw8kyE1kUGaFzCI9Q0QrvfFDV6V6hfs9D3J2Nk17WLhT5MDJG1pGjtSwdOlSCsxmHhYVEVdQUH4HRQO0QYuIv/cL508M4EpGT06tqMGs47M48PAAReYiKrlWok1wG1pUakHDgIb4O/vj5+yHv4s/r1z5ln0PjiKbVbi4wPXT/lSq5E/x1zBnjpiAT+2oSfXqawkMvEBKShyOdxzp2W4kJ96HkPQM1o4fR7G5mJlHZ3Iv/R7OamdWJWzhwOwWgD/UPoWDzoHiuPL0A59evbi3fj0+NoOr1tJa9L3bl9anWnPG/wzLjcvJTsmGrVB8pQj6t8D59izumW+iQIGO6Vy8CH36wND5+fyYOpxuyuMsXZrBlClepKdHUL9uLe7aGo17+Y5FVbsZ+Q63+Kt4g+0q3qAtyfTO3iBU3/bvF44QoHFRQyEE1GzK0KFD2bRpE9+uWcPGRYtwmDiRSYcG8db9SI7cr8z69bBrl4gcCtkfgVWrKF/XsEXQbOQhQ0lfK8aJ3zCxeD45V5uG6eBBMOcQq6/jDUfu1L/DD4ii6aZTmyJJwpjqEZ9IUrd4nGz9NOTsirthP41JzSZhtBiJPhjNJCZxgQvs3buXSOc5/AI01edRcDEf747P0fC1rZ8VNXhM35iOtciKcz3nclFPgMQniXAb8otLeb0lgggDBgx47vWWOEGFxkKGbx+OyWpiSJ0hrBu0DgdV+aIRtVJN3xp96VujL9sj9zPk3E9oVVoWdF9C08CmdLkuuNGVmtpqJqZMgUWL4MkT8e8ffySmjo94hApY1G0Rwe6ltT3Tp0/nwoULnN6+nUo9epDs5cXWv/9m9MKFdArthPNgZzBDULsgnGs4IxVLhLqH4qp91tAp2zhaf1DQVki6TIFjJosf/Qw+h+C1mhgNTdnfux63Nt4CoL7Jm7sRkQw5rubHgqWkIQyub7/91n68bt26sWvXrucKy0j2rp6lnz2Z94Ti2DLvqGIO6K18+bcjhRbh7EgWWDsaavsXCGPbdvzsU8JRcG3pSpaj7ZkUlRYEdzJ25KM7rXhS61k6w8mTwsDybhxE8+YlDsc1Hj3KAFfbu2QzvK/qY9jWHVCfgqNZzxxrZIORNPBvUOoE2UK0z2vSrfYU11PSU8gsWfD1FeFanyS4I09GO7RU7nnxucXE5sYiZdVBDjCA2gMAq1Gcz2x7F1/WCbLYrk/pqETtp7bXAD0NSSEhaUvft1yjgtVUBUmmhjaZ+7KRnR06MD4qqtx+h2MOk1KYgo+TD+ObjAdKnRhlmWCEucBMwQ2bLHGHig33LVu2YDAY7PM1IJzRTz6B2bPFn1dftU94w4cP586dO3xt06POyUnCWmzFnGVTyERhv18yuTzkIat/Po7HhRhu377Ng8QHWLAQNrMav/++Gvd27uSdy+PP1X9ynvOoUTOtxjSiPENZetmHFq+7MGTty2XUxtaGv3oIx2LmTGFsygWFgAtSkR5sva5sQl20b2/b0WKBDRvwJ5XHjtMoeljEo9094NRqstYKenbVVAWmNBOSRsK1+fMdnJF9RtLyWst/FH+aNg3CwmD1avHKWV2K2LMepErFyMkwhZ+5f7ou1j0n+PxzkaWYOcOK+ufV4gDjbc+97NCylneCJEni/eBgRkZEsCIpifeXNif3dC5F0UXc9fmK+bQGYHLHjjh7eIgbFhIiLqxqVZF6io6GS5dwiozkDUCY2eK9sH76Ha+mpYm5FpD79BH0CWBUZCSLH/vQAkjCkdN3TJhsl1f0VBM7pSTx9pARzL64n3OGgyBdwGq10r59e9LS0oiOfgjIBAXVeuE9fRq5LgGEAA/8m1PJtdTz+PhJHKdC6kDjxphv3uTPX5exhM/59RU4MPgz3j+5i4aao6jxBRrZ94vMjGTArk5Ye3SBnX8hnfuUN19tw/iBHVGr1bRbP4PzCadBaWTm0Zkcff0se1NEw+pgWvPxGqhoSUzVi2C8zqAjOTqZ9hHtCc0IxdngjFFlJM8pj2RzMo5VHXGq60RcbpxQHy0SdqhW4ciUA2OwylaG1h1KeGADqlW7wI0bgkrYpEkT0tNFcMXPbyiS9JJd0f+X4X+FE/T/T/D/wB9T1Tp8Fp9ADUdHVteqidliRpIkVFoV7m6li0bPNT0x55uZOwe2nXXgc49/19SqzYaPudR3BPSFbY/dqZvgw/tBQVwvKKDz7dvP2aslle+1Jml5B1oMP0p17+psH7pdyBJbzc8YimWhKFOb9M47pZEHBwfBR+7TR2SnHj7UoFDMAibz9deL6fRNPxgwAGOMD507i9Bum/Zt6LKuCzdSbrB3bWvI8wSHsRCxgWJbgz/vSuFkJsVQVVubz//4o9yCqlArqLO1DtebXadTfCeaNGzCpUmX+G7ZdxhiDbDKik5eAEBDdQtumsLYu1dc430pj0dUI9b5DarwFwsWZPPhh3D3fmkGz91vAkEuTszwO8WF+AsIS3cO0zVfIL05CRYvLsfTMXeIhRbJjDa4Qr9+sGkTm7Zs4euFCwlp2RIuX2bmru1c79ABZkCzDyArC6SxRZAKvbrfo0uX0ugtmZlwXHRgLqw3kOJHGSgcFfa+LkV5uzjLfTqpPiNNmQYGCHQIpEAqQJZlnDXO9hoCf38wxiuQXVQ00jXHInsS4FeW6PFiTG05lU1fbWLu7rmoDqswRZt4qPuF826z6JCfQuwnsXhd8KrQ0Ql6P4hKUyohqcp/J8uynQoXODHwmX3vXr4LuyCxSSJ8LQzAErWcFxWwKhViIk7TpWGVrbxS8xX+evUvu3P0PPg6uEDSdsJ8avNRmw3IsowmKhkjkF7PXfDa168XDpCLC/z8M8Y3hvHxz03ARrV/rc5r5Y45aNAge/+I/hcvktynDz+EhjIqIgJLWBCcAnSw86udNG/S/IXXV4Lr16+L8LMs4/PDWmo2Cya44XACWwTaagfTCAxQoN+oxx13Nm+4y4b6aXQ+OJyrNi9m/Pjx7Ny5E1mWefvtt5k/f36FdZYlUGuLcSCFgNaF9s+yDmRReL2wzFZCMKHdDchxtjVHtcpsG2Thg7QiyiJju8jQOL/iRXGhyDyZCsscuygTcCW1oLxwil6v57jtnXBqVBNv79uEhroRF5fPpUsHKOpuQucEjhhxBu6ak1jSFig4BBcOPfO7WlRuQQP/BtxItZIY/AvX9deB2891gpSeNqqlzQkyYcXbW1yjeyrUz3MAb0HnSitMY+7JuYKWmV4bGhSDRTj6Jf3dns4EPZ19etoJKoFCrUDp8PIGR1yixEZCqSQn8aaPO/czMrhQty7jnxKmWX9nPQAj6o9AoxRZpooysnnn88AKDlUdcAiueL14LpNj+nTRDC0+XvC3PvrI/tWCBQv47rt1GAxJnDv3B6mfjaH5/eYkpSSxZuMasgqzOHv9LNGPbTUt9yhPaQMex8fQuXtnRrw+Ar9X/FixbwVY4OP3P+a1b4cSGipkbZbY+m5u/z6BE0uu00t7kgHuNsXTOnXgr7/sx+z2XR/aOS/gnK4JCxps5eegr5BvjwBmIN2+BQihgWecoMOHITYWlacngSMqkbgildb3A9FiweyrBGQCb5opAFybur7wmbq5udG0adPnfl8W/fuLPwAz1/lDvcXIsguhv0BcXBUm8yu6sRIJeYKpNrnSXkFhc3eHIUPEjgohtwwgW55NXQzx9eXjR49IMhrZXJjJ8L31udHmBgW3SwMjZhyQc/OQcnPB1rD5GSiVvNO0Kb9euUJJlMXBK5gmORHcuHABJAm/kSNJBwLUaqo5ORGcZKs1xIlHEQpKiKufnv6KYcXladIeuR644UY++SBnUr16dW71uEWhpRC+agjGW5isL6+cBrAzeQvfcx+fmJEI2RmBqg4OZLq4UDxjBjEjRnJNf4Yr6hvED25HXVcFxW/s4Xbl5fRMqCLYLpLEteRr9NnYhwx9Bg26PcAj28iZGxLfrGrAyJEyajW0a6Pk/FlQhl7hfCx075/DvQKh9PlazWaMG1fxdVb1rsp97tPA3IAtK7YgmZ5dn2MuxNj/f4rrFCbVnESyoyNbSeaJWeZCwgWc1c4s7bEUb7WJevXmcuMGHDiwjXHjXiczcxfw/y4VDv7jBP2XwxpmpUEXP+5eTyBCKmZDG1cclBVPbi4NReRP302HtU8cm6pYuRAheoPZyjxQpzjhtreU+pMz6iF9h5rRaOB+uE2pyShREJbHh4/yaOrqilahoHIFTQ1LIOXml/sbRAT9nwzF0ppwGZtoSzl07SqoeZMnw7ZtY4EFpKYmcnbrJviwLUpr6Uvo7uDOhXEX+H7HOWZ91gzoCcWnABg8ciTxQ4eSu+cBrPkWL6UPIypYVDW+GurtqsfNtjdxu+3GuF7jmBgxkd5jXyHydGln9YZV+3PzocyePRI//QRn82xUjpDFVMpzR5LWsGyZiZkzlWTZIo9btvzN+OFebExeDEBj9WhSvGvwSvxGqKDeLu9MKziQx43ffxfRrsaNkW/eZNmPP/LdL79As2bcNps5nZdXupMWJJvtGVL/KSWTnTtFJLFxY9IvCUPDu583SueSsSQWjI3NoghzKYBjkDElgwFuAwhyC2JJ9yXsK9oH98Hi1JZ1VMF7lp6CPztwIPpTFlR6VuL8RXi9y+v4V/VngGkQpmgT8BeFY6cg/yZTcKmAzF2Z+A5+lnak0ChQaJ6NWBdcLUB3R4fCQYH/yGefrWyLPpY4R7dv3yY/P/8fjYESzrxVttIksAmbXt1EsbmYzfc2P3efWj61CPUI5bOOn+HtVJrRkrVieb36ZJ+g8UyZAqmpgnjv6cnCk/O5pc+BDsfBasBoKV1M/7z1J1eTr1K1X1USfkng2OqfUHRox40aNXh150zWz9iMj6MPmbpMnLT/LO1/584d5s6dy969pQWumffjybwvJoqQkBB2795N48aNmTNnDgBNaUquaTTD9oaTo89HdlKAHrr378+qVasqdForQkjNazjHZKJxLaWaBE0LwphWxnj4/ntITubga404qL/MlFNT+F3/O/pBWzjRvTtf2niehiQD+RfEWM/r7QL7xW/XlXGCjOZiCpEwW0p7jgD8/vvv5OTkUDk0FHOd+sBWWrZ0Ii4un9u3/+bbtibmzYQe+Zc5DNSL1fNhEYJ2VUGNTw2bwxJpNlMpoRbJvkLV6rmZIK/ymSBJqcDHR2SCtJkIUQYbDsYcxGw1ozUEYdD7gv8j0HsAYDUIo9KCBVmW7TVBMTExLF682H4Mm8o0KSnw+PFQVCoV4eHhuLo+P2NQEYQa92j0ROOT9hUoFEQHBZUP4ljNHIoRjuLweqUGTYkTpDpzxv6ZnQqXdgSChzx7who17AGcZ+DoKDoqv/mm6Dw8bpwQsUCIqISEvMXDh99SXFxA03ZN8fDwsMttl4VCUR2rtSFvvtmQQYMasmxZY06ccKVduw85d24NG/7aYN/21Vdf5bMln3H5suhd6eoKPXuK785tSeKXlIF48IAB2AKHT2UUpMgIFujepxOn+S3rVd7KWlT6nbsb5OYSn6ggLs4NpRJat0ZkIxeIIBxjxxLySRhpm7NwyjCxXrrMzj0ym4eD9pKeAp6fUSuBwWygyFyEVqnFUV1h850K4eTuDSEtIEfBr78KVuoGRkEeqBQW1v0Bjh+Jwn7eecfeVFjQpW3zw1OZIACNQsG0oCBmPn7MtwkJjG0eQINDDbjb9y7YSvEusZEAfx9qf2DC0ztWOFpxcUI0ISgImjWD9u2p5+lJp86dOXXqlLinkkSb4ye4AfTv14/sGjVIz89nUXg4YwICePj7Q5IAg68jZGiR1CXzmGQfryXId81nKEPZxCYAfvjxB4bdHIZchuKXWfRslvhFyDVmEUss4bmPy33+ey1bRql5c0Z/c5D1t9az0vFn7rd5B61Wy1sJIyDpFDt1cVxeWp8nqgIS8hKQkWkS2IStww8yruEdMBbyBPA5CJ3dLpIWLWq1qhmciTryBecvmwFRD9TBYlNAvHy5fJEcIMUHA12RksX9cWvjhmdXT1ReKqzFVkzpJopjBQVUH6lHLpBRXFMQhIEPiKbwocz0lHA+n/K5nb3Ut2831q07xuHDJ1i3bjRRUYXUqBFCx46t/9U9/N+E/zhB/w0I0WrxUavJNJm4o9PR4h+ku81D4slMS+MMQBpCAs6mxMFtd/ISytQ/NE1nS47NG3G2GY96Jdi6Fx/KzubrsDASn5J3LYvGU/8iEVDoCp67TUUoLlYBWhwd1dSuDXWuXOFJcfGzG74LVSY7Yhj5CSkp75J0dDk0s6LLqkbZUlOVpGXbN22B3sApXF1dGbV8OX9WrYrOaqVV3VasYhvJgQoUzzHYXJu4Ev5rOA/HPiRxcSI1a9RkzabttN16gKqLttIqNRRNo9Y4K/NIifBgz+wdRPTyRpJl2m3fg4+lFtWkr2k3fhyt6kZRt5WQHF706UIWfSr48Q1owJvaCSSMknie4IhCKZL54919cMiow3bvGaTxBj/8sIrjx+eh8n5CwfoUqh5SM3F+AOE1xKuns4gImZ9z+QJltm4FQH5tCBmrReTcd2ipkyHZanrirTmYbWo/x/OPgxsk5ify+o7XS4+VvxoYz5Yrp+gti/uvqJhJ80J0qdqFeQ3u8zHDgfP8cKsztXouJ+zvMB5/8hjv/t4o1C934JIskO8QXzvNqCwCXWxKaB5i7JcskO3atbMrT1WEDXeE8aOQFGx+dTOOakcS8hKYsHfCc/eZ2GQiy/r8TPfG01Hbxlm6yYRJUoJs5Wz0dvIMP+JuGxsAV5KuiPoJrS/YouRO6lJn5ujjo2y8u1H0ePKAohw9rPsGpixgV622GBIe27npL/o9BQUFzJ49m59++glZllEoFII0YrXy5syZFDx+zIEDB4iPj2f48OHcvn3bThtsR12M+GI8mQ8KSPKzQCwkm0wv7QABqLVGAjgG8mD7ZwGjnnIqDt+D5GO4dvFiT/oeRl4fiUIv7otDXp69+XXqhlR06AhsHchjT4t9IGZlZdm32X92Gd9xgR5PXgdEPxeTyWSn8M2aMYM/tU5ghhZtDGzdColJ55hXKKwv2XZ/WtzPpcVtYM0iYXQ9B1qFiETkWYRx/zwnSOVZviaoXrPe3H0i7rU2EygsdYLOxwsBj8G+s9gEOFU1oE/yENdnlFGgYAYzsFgs9kzQlStX7HLZZWGxwM2bjRnUrxvnF5xHoVYgW+VyqqEvQnycjJJj5JKCJsMI/g48CQwEDw/7NleTrpJnyMPTwZPmlUqzklaFBazgaij9bbmncwFw118EfeKzJ3Rz47fffiMqKooRI0Y8G7QYNUo4zXfuCJGENWvsX9Wq9RkPH06kSZOp3Ly5i9zcXCRJIiQkhP79+9O1a1c6dOjAxx97sXq1SIr2719aA/Pmm6v59tsJrF+/nvT0dLp168b48eNRKpUlUyr9+5fSjiWboy3XrAXLj9ivvxzWraNjcTHDv0pl86kA3q5xnHYe9+EKcOoUeE5lH28DP9MyIBbXYmf45Q+4eFFQQD/6CI2fhnp76nG19z18841MWgmOWiW6syIg4NHBgxdh+dHlzFg6g3qh9bi75u4Lty0LVXaaaGkkW+nVSzCsv/wgG4ekR3xlnU2HGTlw44ZwiKdNs+9X2VPLsaZXUCPRWtWywmNPrFSJL+PiiNDrOZidTd9m3jQ9WQupbqkzYkyzcu9LDc3vj8Bh/PNZJlOnTrXP8Y/zI1i7di0Ak999l8E2Wn9r23PRPxT9XzzrOcFJ7L7apKaTef3D3c8c+/qSCOoU12HFB+74N/TnYbuHyMhUXvwaVtxRvGD+rQgKG1dQ/RyRCtki80bKG+xjH4/yH7FgwQK+/PJLrng2BM8exDj+TEziNvv2dXzrcHjUMQZEPOGi0RYMsoLBFw7RGlxPQICEJsMD4qcCIqAXTjjaGC2mbBPqJ09EoK4MVNQFOgFKqq+oTsLSBBKWJlR4zS6NXShaUMSeXXsouFXAoCuDcDFrWXZqGX1/LpXD7t9/DdWqVSUmxsr48bsBkKQEAgMPvrANwf9m/McJ+m+AJEk0d3XlYHY2VwsK/tEJCnd0xEetppaTEwN9fMjOhpI+T74tNfS8VrrtdmMVvAKtKJTw+ZexFJiCYEyc/fsHtqjii6AcEwUzV+OeEP2P25ZF1ZrvcfLau4yfLF5+g9VKcUVVfoDG2crd6PEEBS0kLy8FPptHrldzNrZ8vaQeltWr4caNt4FTOLu4Um/lSn4OCACrlY7u7gxrqGDrkBzMPkaelXkohd8bftzdexeHHQ5ETYhCucYHGjbkPb96NEpVsqgqhFW6zd2Ijvx0Xwe9vGn54AE+tjo0BcDINwmoXdt+TBdXFwoLCtF6eDErdxaeRSbiw3fw89VSbkrroNY0DhTqO5Is7kNbk57MeD/Sjg0HvsJqvcedOyuBmZAhPNtWoRvotFpwnPelXwccqVe2HCAtDU6exAQcMPsR8+Q8jR0a4927NEuh1ThiLIaa3jW5f0VEcC2eFvyc/ajtU5uyeFxJS8JN8LTUYmDQEQKfrOBz/xgWfvWQivB6vddZNUBIJRWbi/H5xodGMY1omtiMhOiZwIfAeYxX9Lw75V12ue+Ch5CyKoXKU8oXwmbuzSRzVyYenTwIGC0MZ3O+WXRB51lBhBKUcK2reFYB4LSogKdTp04Vbg8QkRHBiiuiAHRMwzF2EQQHlQMDaj6/jqhhQEMSDQba3ryJm1JJXvv2PLbVqKhMOZjMenZE7GBcY8E7yDfkM2rXKCyyhd7+XTk4dy6S1YLz6VP2Yw6sNZAwzzAA7sn32LVwF8rdl7H0jYXQVtz5a7vdCVI8xyM9ceIEY8eOJSFBLFxDhw7liy++oH6TJpj0eoa/8Qb1atXC4fp19g0eTHR0NMOGDePevXsoJYk35cOkunTHJHlQ7YdqGG1Jhn+WxHgKK1cK6aIyRvMz8BZjs55eZCnSHdLtWbkTV65Qu8y79RmfMe7VcZwoLoYYQcdITU0ttw2AVKZebteuXcTFxeHn58e4ceNIiL8NKVAjXFDvjIZ0oaTiCOkqg1BWLOle/xynZlVyMj8nJzPS7IQ3kGvOBZ5P5bI7QblmZKtM9doqevcWmaDtDbvQ85qW+rZtLyUJreQAi2goqqpkgEKbXHGxzAxmUI96fHfxO84+FDyqwOqB1KlfhxB3MU/Issz6DVYsZiV7Yy4Sd/QeTV5vAkBHa8cKr7EiJMbLeGIiE3ApUIA/pHh5YfbwsBsAJfLx3cK62SmlACpHNQadkdBvRbbAXGCm4KowSj32fAGVFzx7QgcHdrz/PkePHqVJkybPOkFKpaDEtW8Pv/8Ow4ZBD9FLRfjmlZg8eQevvppNamoq/v7+nDt3jj59+thlb0eNEuvHtm1iaJboL0gStGzZkpYtyxvuVitsFxo5dsYXgGQVdVayhxd071TxDbTx25Y6PGJ/1yKuRHvyKnuI4w1ci8S92M1AAAYm/QR+pfV2LFpk5427t3HnxtwQIn7KY0xcJqOXWyiiCCQRpX8R0pPS4Tg8CXzywu2ehqfpKuxLQ3JRwOBODB0KQ4d4wkeb4btjcB1x037+udx70rl2W9pdbMH+/fvRRxZTXCbLXRYzcnyY55bGkvh4+np7Y8632PMxzW43JHNyHvkX84n9LJZavz+/9qZsneesCcMwGY3UqVMH9xYtMNy6ha9aTXWbaEtRtJibwzs6wknId1NAJriEedgFJMrCpImjXXE7tgfD9piTfNX+QwC0/j9RFNuQWo2eVzpQMVQqMS+5qSqmEOeczMEhzYH3Xd5nXuE8vv76azT1NNxLqSVKgR71JtCwjdru4dRs2oMhdYbwR0YBF/PzcVMqGGI4z6XVIdx3aQ2vx8Obc6DjXB59WgVQgPsyyIN27q0hD/Iv5uPdsKFQLLXBapG4/E0g2hwlUTUv0mlwTeIWWLHqK7bXHqU+Ytj5YeAHjas3ZujFoaAElygXsg9n220PR8cQNm/expQpb5KYmI9eryU318Ds2bP/4wT9B+XRzOYEXXtanKACzK9ShflVqpR+EPzcTWlKqZH53aFECgbaFvoMDfgaiXiJLrnFXq7gXw2p8N9NqPuNafB3NFdM3kB9zjZujPk5srkqScJFq+Xzzz9m+vTp4sNsDZMmCRUbJyf48MMtwFokSYH05RdcDAhAK0l8HRbGtKAgfow4wS9TlGgMWbb+8M+HYaSBENcQ0temY5mcRZOFUO2RTc61Guj8LbBM5nybukABRkUUR8Z1pIfeZoSr1ajUantPg5tffcXBi7t479EjXBYEoNXJ7LrxCY9SSzm0S7ovoXFgY2RZxtFQTCEQaDXQ8VWoV0/i6NEP+f77N/HyWsbvv7+H5twF+HYJ9TfehbntoEoVwl23Ys4qIrT+9NIfs3Mnt61WXtNqiZn/FgC1tLU4WXCSAGcxyStthnN992rcB3AAhbOCE6NPUPepep8f8mD6fqjr1IXjMe+wzBwJj8BQ9Tn30mIo92+dSUed6DoMOj+QrehxdByAv38YsbGPKYos4te2vzLtwDQeznuI/0h/VG6l00rhrUJS/0hFUkt2JyjtrzSseitOtZ2eq4hkV8KSJKxWK2dthPuOHSs2/qyylUn7JmGWzfSr0Y81A0qjy77OvuwZvqfC/UoQZXtvSjKOMTYnKESr5jGw+PxiRtQX3vvw7cOJzoqmsmtlZnWYzcE36yIDyjJ00tfqvGavEZI7yfS+1pvDhw/j980S0n/4ga+c3bHYjPSnnSCr1cqiRYv49NNPsVqtVK1alZUrV9Ktm6C/OioUmIAgSWJkRAQnjUakKVNg/nx7Fug1f3+qpEYTujgR3u6HJElIi8pYiv8G3s8Rvahgm5q5SpRqJZmOmbSmNWfYhc5BFjQoWTgQSpT4vOrDk+IEO/0GwNNTSMga9UbcDe40tzmRABs3bgSEjKujoyPTqzTiXooKVxczCh8vrJnZkAXUqkGKu2dpIY2XF4cKCjA9NU9lm0xMio5GBvwKVDQFsk2CFnM5p3wPnte2vkaBsQBFsYKP+Ris8MqqVzA4G/i46iMwwbYmPdjp5c8FhOpgZKbIaml14QBYvIvt9DOLwcLSuUuRJRnLcQvYWDUpoSl0HtGZ3wcL4QujxcjavU8gqyZ/RnbEO/0+29mORWH5V5m8hCQlCptD6abWorJaMCuVpPr7U5IfOxV3ChBOUFlcuHABi8VCUB1Bu8k9nYtslnEIc8BxwPPr2KSbQgZcLpFLfhpt2wo58x9/hAkT4PZt8PCgaVNBuw4OFs1jvby8MD3dmwuxhoSHC4bVX3+Vd4IqQgkVzsUFevUqc50+YtzKPi9QEHzyBGbPptLWrSy0TuE9ljNf+pJ+4wIJGdWU+MCWHK+tBSsMrBsD9xE9xubNg6cEn+Lun2Ntp5ZUToRuNsbgw6oPmbB+AuGe4RwaWVq71ntjb2KyxXqTGSmEbIx5Rj4qU0fVvn17XnnlFQDy8vL48ssvy53v9JkTcPUmcu0afNczgKktpqJWqmHpUg618eNBxBmoVg1CU+Hid+X2Hd9wPJIkET0y2u54PI3OVbWo/pA4nZfHtfx8eCceEVa0ovJxJPw7H262vknahjSqLqiKtlLFjoNKpWI2s/mKrzDZGhZ/8sUnnMoR72Rbd3eKzEVk5mTaRZMqd82DzzzQ2diBOo+KBaly0eBBER65sDMpkq9snzuFRFEk5+Li8fL0QoCsqgbIBF0VQ4Xfp28UAb6hI4ZyI+MGu3fuZt60eTBd1Jk11FTj1teAazo8nE+UqyvzrolI97Jq1Rnp05oDugOcPx/Kkve94Mt7EGZGPysLx9nOFOnFtr3a9YX9kHsqF+++taFMEClhYSzanFjyHPM4U3MxkyrNpolbNeQBXeHVwdCuHSarmeWXl/Pbjd8oogiVQsXYhmN5N+hdcv7MQROowZhoJPm35HIB2KZNB3P58mBkWSYnJwd/f39u377No0ePCA8P/1f38n8D/uME/TehuY23/TJO0P8JrLJMUTszDBC0ItZWgRnRPCkuxmy1onoB36mpyZv7QGfp5QdsWhqk2bi+Pt5ipan0gmLqEkyYMIFPPplHcXE+SmUmOp0QoFEo49AViQZm8sgRFDZqRDNXV9bVqkVtm2FU9DgOPvgU2cMFucdQLM9xuMyyjFWCaj9Xw5prJXN3Jks/ApAwKU0khoBBo8axQw5FTUW6+YbuAD1DHjGw1kAcVY6k7XyFFF0WjFsGQOONTdEXZ4JuPtE1oMlNGGkewb3apZW4JTUFkiShV4oJ2GjIJixMCOF07foG27fPIyEhgfj4VUz95l24+gWcThIFwrt3M/r1v8hQGdmvGUhdBN3q0qpVdAN0BgPuSnfMFjOReZEMHDiQs2fPolarkW2Zp6R0WzbPBz5p98kzDhCUL7AuMXpGWpow5bVS2UwfPx+7kIK1yEpSkohwW2UrF167wKHLhyikEAmYMEFJ9ervM3XqVDyve3J52mUSLiUQnBXMisEraPNnG1pUFhFwuzqcolQyN/lXmyDChGcFEUpQaKMF6M167ty5Q05ODi4uLjRp0qTC7f+4+Qdn48/ipHZiRe8V/8pIBOxjqyQG/tDmBHXwDSPfyYforGj6bepHbnEu15Kv4ahyZPfw3ThInvZjWK3WCqltkiSxcuVK6tevT/qDB0jLl3P0/fdxsC325aSH8/IYNWqUvfbnzTffZPny5eWK5kMLCykEotPTOVnSQLNDBxoNHsytnTvx8vJigUEs0FLzZs9ahv/WCXoZ2ERLNFl5hDVoTKZbJh3owAmvqYTPr4zivfdI35bOg6EPcK7njGMVR57cKYZOnewRzPj4eFxcXNg4eSOVf6tMtIsY29nZ2Rw8KHjxb7zxBgazgciUSzhoAjEbE9D4uFKcmQ2EQ9PfyCyIELVbAAEBjIiIILskK1QBiiSRXci3irk6lfKCASeenCCnWGScpqmm4WB24NqDa2T7ZvNuALiqIAtvHlWpQpbJRHpuDGarGReNC3kJHqCwoncy2DNpqmIVZpWZbmHdCHIL4uSRk8QRR6uwVnQIKRVHUUgK/P0hLQs6+gyjahVRDG1RyGx6Wi0B6OzhQYBtTo7R67lqW3tu+cj2rNyMnR8hvfE2+IeR6OuLU3Y2q4+u5vT50yDDkq1L+HHnj/Zj9qzWk6/7fY1KKcZZzlFxHzy7e/IiKGzvj1wRXboEX30Fe/cKJ+PNN0Xw5/ZrnDt3lBEjfgFGPP/4CtF26KOPRBKjgpKvcthmYx8NGFBegVOqXw+OgFynAqEYo1FI4S9YALbf8U6/ePalZnHkmjdvXPuAi8vh+9ki09SlC1Q/tlN4Zr6+5Rtc2eCvcoeqOr4eBcXGe3S6UoXVrVcTkx2DWlGeFhyfF293gkrmUZPexNKlpT3GzGaz3QnS6XTlvisHJwc+PPIhk5tNFk4QsEn5gHWWAxCF+FMWKhekh24YEtMJqRyMbKp47dWGaHndz4P1aWl8n5jIx/6acr2M3Fu549bWjfzz+aSuSyX0k+f3DOpOdyQkvqn5M6Z6OYy+N5pmgYcALe3c3dkXvY8Zv8zgT+uf6DQ6Oh+rAj4PYMQ7oMrFNbRiRzbNqKYK4JkDp40SyQXJVHKtxJTP7pGQf5Burf5daxJKavKe6rEFYCmykLHDJs3/CkTfjYaDQBo4H/8bXatJOPsHCx31q1exzJvHm5MmUWy10sPTkzH+/ly5coWdO3ei0eyntYuCi6MD4F0luGsJa3yb+2dk8AKnzk6wHzJ3ZxL2TZh9zdPvuU7cp9mAmp96/YS3Ig8UChzyY+DvGPj7NyKaV2HEADM3LYngBj3De/J9z++p7Vub899mAjlk6NW4YyRrXxamLBNq7/LjU5IkvLy8aNu2LadPn+bo0aP/cYL+g1I0tb0oD3Q6dBYLzv+Sd/oiXMzLY1pMDDkTRSpfE6nGeCgQ1YcxmBVW4g0Gwirq92FDio2W8TjX46XPeeYMkHYIZq3ibFAb2PacyfYpODk5Ubt2X27e3AQkoHGwcNwtER4MAmsu1K6NaswY5lapwuyQENRlDELPYiM8TMakgMpVqpBiKBN56dRJKDAA6PU4TZyIry3aXORgRFEs049+1A6ujTE3B/y6UvS5TSwhVQc6EaHcHbm79JiSCmzBlEKTDrDCIx+uNhdO0IDIAXy25rMKf2eJXTn+xue45P1g/3zy+5OZ88EcFi1aRF6dPNb0jYHGgLwHvg4grl5vZKcAHqKgLpB48SL9bt5EB3Ro1IqPbs0mX5XPVJepXL58mR9++IGPPvoIf2syecDVJFED4xPqw7yO8yq8trJOUKY2GIhkw8UbbKhXWjcWExND1XCRGpr1zSwWLVr0zHGUKOnP73w3vRq+vmP59NNPyUnLYU3wGmI+iCF4bjCNjjdi0pxJqNuqmdBkAm2Kbeew3Z+CKwXobgtBhIAxz7dcbqcIisLNlJt2Kly7du3sjlpZZOgymHF0BgBfdPrCXkf0b2CVS1SwxIWWOEF1XNwYOnAd/Tf159jjYwC4alzZOWwnzSo1I7KMwtbTTQXLIiQkhA0bNvDKK68g//03+PpSMppLHKdHjx7Rv39/IiIi0Gq1/PTTT4y3SdaWxRVHR1QGAx94eoouuDaoZ83i5qefEiJJeDVqJJqVlGmg7NajBxn16uH7gvqYClHS2+XVV8tIXz0Fb28sCgVDmjXjYdhQmtTJgCuwtklvAgZXYyqQc0wY0B5dPQCILS4GBwdR52S1UlBQgIuLC3kd81iTtYaGzYQ0+cr1KzGZTNSvXx+HQAdar2nNzdSb/NnSlRAHcHJypBhwVNWhCLC61ib3SQQeAIGBNHV1Jf8pJyi2uJg0W4ahpGWW0SyoxGPalFd9+bXfrxgtRswWM/IPMuTA962/J1eZiKtKROUzEAbYhS+/xJh9Dnyhtk9tEi9K4FeMrAC1qysmwFJgBiuMOtKHlg59iEmIIY44BkYNpNNvnYj6LQq3tm4Ejg2kfZ2a7Hlg4b3zXQl+1BwdOsxqFW9ERDzzCI40aGB3gk7m5jLRVisovQEBa2xZ8b+vQY2z0DeMRE9Pkk6e5OPhpU1JY4gpd8wO2g5cGHeBOlfr4NvUl6y/RWTeq4dXxePAhhKDzPoC5xNnZ1H72Lat6Im2ZAmFhYUUFBTY5cBfhLFjYe5cuHULSthvFfn3Vqu9xJKhQ5++TvH3M/G1+Hix8WVbVrBzZ/juOxSNGrE2BWrWFMmrunXBxlZl5kzbAatV43loVdkJdd1MTEqJsNUN8VBLfKcUGZinBQ/WD1pPkcnmTMoyh8IOYUw3lgvwtG3b1v7/Li4uzJw5s9wxbt+K57CPElXjzgwPP2VvJg3QJqgNVrniOSvH6soH3tXwc/Hiw3fCUVfg0JXg/YIC1qelsTUjgwXLGvHjwR9BhV3NNXBcIPnn80n7M42Qj0NeGKDqRjd+632XAu/DyJKaeyYh8NTR3Z3YAgXh2cLITvJJQqvSYq6/g6obJuBTKZpX3m70zPGKiiC1WBzDMwdwrcXW+1uZ3mo6ebvzSHyQSIFvAfyLtpSyORYAZ+WzgYisfVlYCiwog5R0vteZlKIU3Ie4k7cuD92xzdClARaPUNK+/5748eNZ7u1to8EpmZSVRYsWLYQC6NOwpa/ul/y7EyzRLuFLhy8piiki6VQSQZ0qY1n2C3c/0mKVw8nwucHRBkcZXWc4bFoHV68ib/qLn2+v5qMOsRRbwKsIfi3uxmv1FiH5CuMn36jEETDrLDiEO1D8qJjMPZkEjgvEmG5EH1WebdQspBmnOc35vecZN3gcGr/ni3L9b8R/nKD/JlTSaqmk0ZBsNHKzoIB2L+DT975zh6v5+aytVYt+FUQXSpBuNPLx48estRleiiKwrgujWmQRD6wSHjoHMl31xBQVvdAJii8QC9jDnBcvZGVx9iygj4f7lzC1eHEU8Gl07NiNmzc3YbHoqf7WZ0QWPoGom+DoSPelS1nWqhV1KmhOWCmvEho0GK1GUkrk8kqQX0ZNTZbRp6cTV34Ltql28tq4QcjJV8Gvq/1z6YAr8SsSiMuN41z8OTRKDX7Ofng6+tL3fCxIEpffukqQszu1OyRweEQRb62G/Av56CJ0ONd+9loVCi0WDGRaTGTmxto/HzRpEL989wuJiYmc3nWaWN8khHUGGNNonjIIRymUtGBhpEx7802ygCaurvzSfw3pt9IJ7RHK0teWMm7cOObPn8/w4cNZ0CKYd1xTybgjDMsPBn6A9jkc5bJOUGLjmcB1lMqC54ojKJVKO/e+BCaTGQsWClyvUrXqaMCFSZMmsXjxYhbOX8i9e/e4+/Au+j/1zNo9i0m+k5iYPJE3L7zJaEbzIPMB/sX+pPwqGvX6DvO1q21VhLqt68KrULV+VXvB7POocHNPzCWnOIeG/g2Z1mpahdv8E0pMgZJb8tBGj6vu6EjvkN5cmXCFDXc24KZ1Y0KTCVR2E7RUZRlVM9lkEspHz0H//v1ZsmSJoLOsWYPcowfvOjvjN28ex9PTGXryJNkGA5WdnNjzySc0LXGACgpE5tAG/61byXdxwdtW/7eyRg0mRkdzrbCQSm3a4LXT1pi4QYNy1+MzahQZej0hNWr8u5tz4ICwIsPDX+gErezXj11hgsKWHiycAr900a8DIOe4LYvQzROrLAtRFUnCxc2N/Nxc8vPzCQwMJKtxI3Iq+aJ0d2bPvT3MWjQLgHsB96i+vLq96PpxQQEhDuCqcCAbsOpt72XOde7HPxBNNatW5UjDhs9cbrsbN0gzmWwZ+wIsCpkcxP3s1bBXuW2H1hWWs8lk4ozbGciB7t7duaoUToZRVtPpwl3+btuOS8nJOD48CV2gtm9t7iQAgSKLEKrTEQPIVnh3z7uoMiRSklPIJRcAw2kDKafF+yFbZALHBuLvDypkvC6mUFLtmecO7dzd0T5lTHqVeWcrabV09fDAKsPJU1Ze4RX2sIciHxOVDCoeAImurtR0csIz0JOcohzUSjWeDuXndu88HzDAnuwCFH/nER5bjNJFiVcvsXYcyc62U0nLIs7bGwoLXxgYAIRC2LJlQnnx44+x1BUZmReJhdivzRuGD4e1a4Wj89575RhBdly4AElJQu+gV6+nvpSFClo5J2j/fhg9WtSVeXgIKe833rB7TIGBooRpx47SlmGjRpUqzr0IUpM8TO7u+BQWMtEchsrLrzSjUFQEZZzbJjgCpet4uzHTXtj4183NrZy6IMDRz85z+PO21N4dzXpd+YDKpGaTmNRsEhXhfkYG++/fR5YkpMuXS7MfwcGlIiM6Hdy5Q2OgkyRxSpZZe/0KnakDZgsam0Kt72u+PHz3IfpIPQVXC3Br8Wz9k9Vq5dVm34JSZtVraxjcNoAj2dn0vHOHAI2GJq6uNKvzGs1qNSOWWDr06EDx3GIeDoOjNa5TJ9FC7jEDPqPLKyfGxUGOTc5VOEE1+fHKNKa2mMqVK1e4dOnSv+5RWTm+ErnKHFzin1X1TNsoHKPdNXaTok+hnl899k3bx1L3pSxfvhwWLeLGT9UJMPmUqnnk5tJ0yxZe3SwED7RaLY0bN6Zr166oVCp+/HEzOTlRYizWqA5Bt6GBkXNZ5zhQ+wB9bvbh3sy7+Df7gchfPSmiDdnO2bw9+iuQQJ2SDmo1qQ3CePPJIw75iPBbjxRn/vhLR6WCY/BDY2jSBF59FSlfFM15G4optrFZM7ZnEDgukJzjOUS8UT4A445wkC8euEj2kWwCRv5DWvZ/Gf7jBP03ormrK3uysrj6D05QjslEltn83Ibssizze2oqH8bEkGeLkI0LCCBuXlWOb9NS+1V4cAucchzB5gT1eMF1ZUvFgAOp0stT9S5fpkzY7N/RaZo3L+UfRP5WWki7+tdfGd+793P38/T0ZDObifCIoPOhrujKLKje3t6EVhWZi+LiYtYuWULntm1RqVScunmGmZM+It8hh1nvzGLnqubkJGyGSoPhWDCKbdXwWakmKCSItiGlkbTc/Hx4U7zQVfLz8XN1RZHoRY7lBpdaGWl7AVJ/TyV8ybMpX22HbpjMZr5t04f2nUpVxKr6VGX6jOl8NO0jLvx1gZZftiS+KI4UnXBkR/yiJjJ9C/P6FbMxLoKzUVFIwJSRI/lp9U8YMVKEK8n3FbhVqkR+cjINu3eheFIL9A7eqE4ewYyVdi3bPfc+ljhBOTng69sNyOLbb8vZ1eWwYMECFiwofU56PXRymYVCPklwQGmUZ+bMmaxevZrHjx8zf/58vvrxK65fuI7fQz/+PPYnX0z4wk7jOBl7kve/eJ81G9egQEGlyZWePm05+IX6QX3wqeHDmR+FPG9FTtDNlJusuiFEHJb3Xv6PMu/PQ0kmSClJyLJszwRVtzUnbBLYhCaBz1LxHMpkpiwvinrb8OGHH2I0Gpk9ezYcOcJvzZuTducO22xZzubAHr2ewJSU0p0MBlFAXnKe10StUZbViq9azdiAAH5JTuZmYSGHsrMZXSJn/JTDUuLgWZ9DK30unhsuL0WKjw9zbQ0rhjnrueuaCYTgnwZ5kkRxXDHFj4pBKZSwEg0Giq1WVJKERxknCCBP5cct2UilM7f4/tMPIR9Qg9yw/Pkzbak0T7WCOMBUYPtAtvIgo9QJehpWWea2zYF8KzCQSR0L6HbECt3F+QcmJqKyPf+xAQHMDhWZxVSjkWh3BbWBd65EEN/2NguBDLMf/S5e4u+27bjYvz8Bd66B9TZ1fOpwOAVoKpygcB8fUjUaCo1GjlU9hotDPm3fGYR1hRVSoMrYKlStLq7XuYFw6Pz9wYyCm02rMngwJBkMhHZx5XhDfzQvoDz39famr7c3jx9D+GwLw2z/Ff/pytEbB4UT5OzM9N69GbZyGL9e/5XpbabzTfdvyh1nv/dpQGZRQgJ990M44DnAG6WTcFLWp6WxoQJqHoGBEBdH2ktkdJg8WfSRWbGCe/fFHH/qlNIuoPMivPuucIJu3IAtq/KpGlAEZS/H05PNm8WcNbCfGW1ueTnkWfc/4B3pIm7+c8A0Gj79VPSAA0FZ2rKlwjFU0iOvWTORkZo48Z+vFWCzjYv32vHjqPr3F8IJH9sycffvi3M+D59+Cl/Y5Kz37i2lfD4NtVpcFKWvrOI5SmbPg2QbW1aFAlVZ727BAtEZHYSoiU2F9v02bTi1cCF/mgx0Rk0psRhUbip8BvuQvjGd1LWpz3WCsq/tB0RNHWAP9r7i7W3P0BfesfXUqi/ej+rVYbXDVTKK01Bu82Pu6PJB5NhYyEE8f+9cQOXME4OJv+7+xYMH4ubcvGXFxih8KbzpNoowSw3SgspnTU05JrIOiPG1s+ZOavnU4vjo4/g5+/HNN9/w895DWGIfYpo8Fho0wNHZGXVsLIZHjzhpe1Djx4/niy++YPbs2ZhMJqxWK2qlzdnq0humTsQt9jdMSXsoMhexqcMmut7risM1R85fEypussrMitErUHuaCcuAIfey2dljJ5P2TSJTn4mDyoFvun3DO82noBh+Vkhr79wpXqIbN5A5z3kWUV2ZT0gQFMeZyDmWgynHhNJViWPN8gH2BqYG8BhiicXs8M9r4P82/McJ+m9EM5sT9E91QSVFu+oK0sQZRiMToqLYkyVerqYuLvxUowYt3dwYaBT1lyXic8p0RwgpLep+HgxaMSkYPF6u34TRKFL/2ALIslXmyRPw9CwVjDIYIDm54v3T0mwzsb8/ZGSgUqn4euFCxo8e/cLzKhQKPPGkmrIarZ9S+ykLE1C3enWaNWuGWq0m3ZwuLD4FhHuFc3TUUYZuH0p87B9oV2aiK1Zz9eqzQe2yJoWbWk1GBuRmOkCCE/v7Cico5fcUqnxexW4ElMB93DgKvbzo4uBA48otyC7KZsu9Lcw4OoMzGWfAC/TZei5vumzrr6bAIXwmf+Wv5AqnYR+kq4UMraJJEyLMDvyc8r04+AHbHxuyIx9CxhBoMQRzniikbVCG9vQ0PD1F6wuzWQQbxb197ubP4MgRqCNPZCw9UbUWU0bb39tyPfk65h5m2ARLlizh++TvqdKrCj/G/4jbLTf+PPknhqYG8s/k46J1oc/JPihMCh5UfcA16zXeMb3z3J4XJTSNwsRCsrOzcXZ2plmzZuW2kWWZ9w69h4zM8HrDaR/6nCzFS8CeCZIkUo1G8i0WFEB42QKCCuBZlp73ks7FrFmz8PbwYPLUqZiuXqVELLVbhw6MHjKEMxoN/lWq0KlkBycndv76K6YSzvf8+aInzdy5jGzdGrVCQR8vL24WFnIgK6vUCerQodx5pzo5kaNQEPp/QM3NdnUlW60ula0sAxmY5uhItlZLo9hY3uvdkles64FJ+GZA/tkL5OhEsMGthRsqNxUPc8ScGObggMY2gZU4QS6xZhpvi+bg6g+RrVYUbgqmfT4N36a+mK1mavrUBOD0nSlAFl4uwsmw2rNyMveLbJnjsFJxhRI8Kiqi0GLBQaFgmJ8fk6OikPPzxfOTJJ5otfYXJaNMUb5Zlsl0E89Al2XCCVE3l24NoPt9QVS54ulJuK8C0qCWdx0yM4EAcaywOnWIrVqVqKgoIt0i+aV2FF/NWovxD1EbFv5WOKFty1M5K1cGEwoO+4Ty/mz4t0TP1FTAAhYFKK2gkpQEpYvizkRblvBKspDlttfxlUHJkG6hcKbfET0g4zeyVEWspasrxgqyPVttY1X5Mk6QJMEPP0B2Npa/hKCCNfI5ggpPoWlTkZU5cgQWN9rEr0wu973l2Em2b+8EwDD3QxDQv9z3XrY/FCcLytt5IW3O1KmiHug5md2S+9Krl2iv8zKwyjJ7nZzAYmHIzZsilVWWsaFSvViExKlM5uGbb+DcuYq3c3W1O0GE2FSWXlJOvQSSbd6zKhTI4eGlLpRnmUyhRiOyw0C/9HSqpaWR7u4vxDuw0Di3Me4eIqgY+GYg6RvTSfsrjfCl4Sgdy89Bcpm5M0DpSJLBwPYMUVszsVJpwEx3VwQvSpwggC3yd8TxkMbna/Bubp1yIpaxsUIYASCoQAlYwLU2M4/NpLBYjON7qZH/6t7oreKZJafllfv88cbHYIJH/o9Q1FJwbNQx/JzFOZalpWHp2AZiH4oM2sWLFCEELQEcJInjx4/TpnNnTCYTBw8eJN32npYgLN2Rx0CTRh+zfegKGv/WmAQS+GXwEt7bPg2FxRUHXzO1tjfjSLsjxGxczs0tH7C4aywnt4oebw39G7Jx8MbS2uFOncSfjAzYswd27EA6KjHXUp/GlhvcUA7haq316CJFbVDAqAB8+pV3NGVZxsfPh8zMTJJDkgniX9Kt/4fxHyfovxixCgVXCgpQqVS42gyk4zk5XMrLQ6NQ0KRMo7sHOh0FFgt5tgjy007Q9YICXrl7lySjEY0ksaBqVT4IDrbTS3b/pQeDgb+POfHHH1qs8Y7Q7J+dIMkqQbEC6SUN4Xv3hJOjUAlj0VAkbIuFC2H2bNtveSCyqRWie5DgKvj6MmfAAD4JC8PFxeU5G5eipGBc+pdRrNDwUJgHPk7iZW1aqSkxU2OwyBaG3VKxc6do4fC0E2Qts5grFAru2toxaDNUXO4Gaf5F+Kc5krYxjUoTymcyLDZDLsNNwfuH3mfljZXoTTaDUQWBrwaSsioF5WUlf3yxlgN+9dicmUuhVTgxztXqo7Mtat27daVaShh96IMmUEN6RwfSDDpSC9PQ3YmCtDzYtNVe4VurVi3cX8DZViiE+mlyMuivPwDqoLhyCWj13H3KYtcuKCnq8XMSk7rRYhQqcjWBFsAVMG83EzM2hu9Gfsfc9XPJ2J6BOcSMChW1NLUIuiwmx7Vt13L16FW+v/Q98zrMY1zjcfZi3RKkxKbAA4jXC2O2Xbt2z1D0ttzfwrn4cziqHPmmW/kI9r9FoEbDgqpVcVEquWkzpms5OT230XEJpDLe5D9Sf8pg4ttvM+f4cTIjIyEkBPr04Vi9ehyzfd/Vw8PuBKUqlYyuXbs0E/r4MWRloTQYeNd2rX28vVkYH8/hrCzMERFiYm9XPjv4w9ChRERE0OrkScJeIDX+7I+UWDFoEPNr14YK+tiUQG0ysX7RIg52OUx2s0mYlaCyQFyGhZyLNipcV2FElaUb5tjenTxbs1H/40X4rNyOjBVqwqoNqxjXbNwz5wtVPaQoZS5e3jbnp6Q9gGtt7jjYnJcKovi3bPesvrMz7ioVtY1GHtgacnp4ebGvjLNdqUzTaV+1mpqOJkDNB84B/I4w0jKMAdRJvotbYSH5Li5EFouMVJC2LhYLUEX81hqOjjwKDSUqKgopTyIvTCa1MNXeJ6iiOdGWhCIuDixWC0cfH8VkMdG7eu+XynqmpwMmBVtdVDhX28a7oZPIsUWrElUqis3F3EkTtZJl+wOVoMQ0HXfVAbVOh1MdJ3x7lRrq7wYF8W4FNWbfmkzogICWLdm3bx8FzwkEuri40L9/fzFJrV1L5l/ifkvnzsFnn4nsxz9g7lzhBP3OWD7iG6pJpaqnh654kZYmfItuNRMqLhrSaEQDV5NJRBTXrAFbtvV5+Cc1uopwo6CADIsF9Eq+dTtBl8ynFuBGjRBe80ugXTt7k9lnUMaxehjsCZ/fI0X/7wIfJT/L5OyMOSLimbkXENxDm8S9ApielMTMWw9ZKa3CJBuZmTXT7gR5dPbAoYoDxbHFZO7MxH9E+SIcq6V07lQZ4dMnTzDJMu3d3e02kzHdaFepc2lc+q5YbUV9Bo2R+fOFP12CJ08g20aH884Wn3n4tiI17TDIYhznFGeRb8jHTftimfISmFTi3HnaUkcspyiHsz+epRrVuNr8KsdHH7dTpndmZDDryRP7YHFx8cfZGfLzDRQXe6CQw7HKHenZqw3CX1NRXDyFgQOzqVJFwdltqdxNCqWXXIdfgFO5uRQqanFk1BH6/dKePbWPc+jjc/gU+GCqbEK+LJNzOgez1QyvAeSitUh8mBDMPF0XtGXFk3r3Lo2M2iDVbAIPwKrSwOPH+FQ9gY52ZO3NerY/HKL+r2nTphw+fJjr16/TosWzwZT/zfiPE/RfjB+dnHh85065z9JMJlrfvIm/Wk1qmULGydHRnC3TZbwsvWFbejpjIiMpslqp5eTEljp1aPDUIvnxvNZ843oHYtsDZ4i7lwWDYV/8DRz2NOfGpBvU8RXSpgvOLGDBGUFxMuxaDjcmUH3ihZf6TVeFKBG+ag1pgFSgxtGJco1DFYrygaoSmPolYnpbBgYxNzSULyswSp6HUM9QoonG1/EF8qUVoCSLULbfhSRJqCQVrVphd4JANCJcuFDU5datK5fb3qZaSQ2VG3eVmezolcaUP6uQ9GMSgW+VVzYzKyQoKqLvgUmYdaJWoL5ffcY0HMOQukMIdgumT0IfDh06xJxZy0n4+muUCgVKk4gCdy80szsjA5ydqd7eSvMFzalFLTLHZvJ9te95lCCelbqxGmm5BuOTGPhCFNR27tz5H+9JUJBwgnRFNsfSVHHfh6dhMgnmhZJAxv3mRUhPYaTse30fOoOOEydO0G5iO94c8iaXzl/Cd5cv8w/Np/ag2twbfI/M+EzeU7xH3gkxziWFhGa/hpB5IcTnxTN5/2Q+GPsBphhTuaLdYpsaU6KXaMb4NBVOZ9TZxRBmtZtFsPsLdOVfAoFaLXNsFueC2FiAcgGL58HJ2RkDwmhQvaAO72lYrVYyd+wQ//jyS/D0RALcVSq0kkSCwUCbGzd4WFRE5tMSwbZx98mffxI2YQK88QYtly/HS6Ui22zmSPPm9NHpnqkfKCs7/q8gSWiNRtwsFmEwPoUiqxWTLDP01CnqRUVx0mxBoogMXwcCUyXy8xzJPZELlIoilDgidZydibAZc9nZ2bbrtHIBMd59evgwsvHICi+rhl9bbqdA5QCbAllJlkrtyrWmb4D0o6hcfwol525km0/7PlDS4vcc1gKV/P1p+5yAglahwN1JzC3qPCveNt5VuiEAhYsLLSIjOdasGUbn6ijzo3AyiX4/Uo1CZNv57oeIzzyNnmSTzYOMB+hszts/OUH5RgO9z6wH2Ux2SHs8HT0qvM6yEMFkibTCTHbf+hFCvyItUbxTiUBkZiRmqxkvRy97f6KykGxjRrVROLHBHwa/1PgJDg8X/FsfHz6cNo3o6Ip70oWHhwsnCMotKCpU8PnnItuxYkWF+5agfXvwUBeSa3Jhco2THIsq/R2/2g49Zgxopr0Nb7wmJvsdO+D4cQ6Zu3Lc0JV2nOOVHsVCau4lFK7+T5ygg7bxzTVPTEX/IhVfEb7++qU2y8IIHTIpjH851kcJSuhn8r/4gWP8/Znr/gS9RgIDSMrSfSWFhO9YfxI+i+Peb/GkDHCinrOzXcW2rBMUoyu0U+G+KZPJLVEmdG7gjMbn2XlIksRQefXV0iR4dDRkIrJ5TulWkMEzsCuqxz+RaXuIJ2JP4L5oKYEugTQJbELLyi1pFdSK5pWb4+Hg8cx5jqZuYyU3qX2jNvTeQ57SxNDaWcx5+D1Wycp7n4yjyutvA3DLz49RI0aARsO79eqxfORI5G+/RfL3Z/lyERu2IP4YjYARxGoyn/HjzfTrp4LAbwRlsvpYIjymcTI3l41pacxOyubmohxWNIHfu7sQo0mCMmKMzkpHascX0fUJvH1VJjQvHno+KP9jzp2DMnWt4uzi3urqK7goN8KadwFoR8ahLC5k5CBpFDgrleXs0cr168Phwxy7fJm33377mXv2vxn/cYL+i+FttSI7Odlnx3SjEZ3VirtSSchT1JpAjYaqts/CHBxo7uqKLMssjo8XkQOgt5cXm+rUwb0CVaz6Jk8kGWSHXPFBnAeQjewYiMFiLJdiNlvNz/R/qVR+7D8XJc5AA3cXjgJDWjuwZUv5bRo2LA3ElmBHRgav3ReRok9CQviibC+kl4CLg3jJtAoto3aNIraM4EBZ+Dr6MsaxVNFp0TmhbKaoINXVurX4++JFsZB9+aVYawFu3iy9Xwl6I5s3i0W5Y7Abd4ED/RwZv8kA94Q2v2dnT2RZZvO9zWS+MR3S0jG/G0iHph2Y3W42PcJ7lDMYVqxYQd0GDUi4cgW2bWPt/Pl8Iwu6SIbJ9jC6dGHznXgGXy7AKlmZaJxITkIOSklJvxr9WNxtMTs9doqaEltzx7yGDTFZreWU9Z5GcLAI4ustYkF4WTrcmTPClnFw+Jje01cyZ84c5syZg7+LPyatCV+NL+E+4Rzaf4hOnTpx69YtRg4ayZkzZ2h8pjH7u+0nozCj9IBW0Jg1RL8bza/XfmXh2YVkFGeAAUw82+ehOFfM6nZDyYZPT35KYn4ioe6hfNTmo2f2+/+CEvpqk5fIVhbKMoEHDmCVJLKtVl5MnitF2azj8RkzmP3BB1yuU4dcW1Y4zWSyR+gkWaZWXh5Nbt+myf37LM7LIx145cYNMc/89RfKwkLGLF3K94mJfDN8OL0zMp7JnxbZqEn5L0NRKgtJ4uNNm/i4RQt4//1yX+WZzVS6cAGTLDPJJmM9VaXiifkoiW41CEythfqGC8ZUIwpHBe6thYNxyUZ9a+XmRqbNWSuhfyRlPkSHDq3SkemDp6NRVqw2pNWKSKuvj3CwnTP1eKalkugfQEGVvkS0vUxtFxchb2yTfAe4ZaPZNCoqgkePqGf14eE9YWD5PaexaglkFzFHpKQX4Ye43vw9zcD1GJ1v3eJYs2bg045g/W1ys1XgbEL2F2O4oYsLZ21OkEuxC9lkc3/3KnsmyHnXrlJZ5Zo1oUMHgoNBkmSKiiSSftsBDScAYLZW3BPlaZQwakquFSDEtrYkWq3czRBUoNo+tSt0bhxsPV+kfCvO9ZzxH/1yMlpxa9dSZLEQ7OBAq1atCHqOImGlSuUz6mFhE3n8uJhqw8bB3hNw/Diqhg2p3b8/tGghao0qQJhHNjcyXDjxMIioKHH7HjwQGgcAE502QOc1YkIr8+6d9RnMt5kTMb4+llc2+vxr+fj/IyfoqtfLMmf/P8Ne//dvywD597u5qFRMCgykRJqhxP4wWq2sSknh53pJLJdAeVbHoO3XyammZIifH2P8/WlS5h1fpo9FdoHhfn60sr0PslUmaYV4h30GlKdjlYzbjqoC7ltFM9zja3SYlz6k5yXoaJNSkQwyy98Dk8pCi/EnaS8NRwa0Ki0GIKUwhf0P97P/4X77sev41qFNUBtaB7emTXAbanjXIMuYTiSRBBX6k3z+NAOHQ/it4QBoWmmoUzMMDh2iwNGRIStXotdo6HnlCu/98AMn/P2pfOAANd98k9GjoW9fhCHy1ltw6iQ0b4Fp3TpOnT5N+/adxEWUjFeFgtH+/pzMzWVdaiqzxo7FVW9hVtBwZn36F+n6DFILU1FICjwdPAl0DURx+YqQLyypWXu6EfS6daVNpW1Q7i9Gtd5C7GfZtHH7HskK218DrxwrU9fd5kZTUZZxrUzGfK+Nxnnk0qV/Hij/y/AfJ+i/GHP0evp06vT/Y+++46MqswaO/+7U9N4hIUDoHelKsWABxd57L6x9dXVta8Wyuu6+a9dV14K6dgUVVEBUivTeQgmk956p9/3jmZnMhCQkISEQzpdPPjOZuXPnzmUyc8895zmPL32sAoGNWAwGFg0fHrDsxw3OUrp0nZnbt/OKp1zhju7d+Xvv3r7yt4Zylt7KKSvv5MQzarkHsOR2R9d24jBYWHLLDvrE1H/x3DnuTt+M9/d+uJ2PgZ7FLfsi9WaCevRo+Sf+2qoqrvB0urnGbGbq7t1sqK5myJAhB3hkPe/cMuiwKncVW/O2kli2/5dwXVgdhjQDjkIH5hQzW/ZtgdlQbalGv1MP+HI/5hhVep2fD++/r4IgUO1NP/nEjScJwOVXaKxerSbXu/3MUP69GarjEvl++Lecufx0Vs9aTVZ0Fq+ueJVl2ctAU9v152Nu5dkr72v0gMKWlIT7llvg73/H8NZbpF18MS7UAekf5Z5BrqeeyqTV6sz4+tT1xPWI494R93LlsCtJDlcHAHfeeSePP/YytXX7IDaWD3v2JHrHDv7dTNevVE+ipMbpCYKMLfu//PJLdZme7mDLllrs9sYzSJGRkXz//fdMnDiR7du3M2XKFBYuXEjO9TnwD8iIyWDOt3MI6haEpmlYTVZuH3c71468ln8M+gfvrXqP7cXbfeszaAYitkdQ9m0Zffv1ZZDf38qSvUt4cemLALwy/ZUmxxW1RpXTSWZdHWZN4xdPdnZ8xIHLIzRNo9qTAdJbcWTjHwSNvPJKlt56KxvS0lg5eDAFw4ZhMZtJ2bOHjGXL6LtzJ6He+VYSE/mX1QoOB47vvlNHYSecAF9/ze033sgrRiOLhg/nNbO5wegIyPM0X9hSW8sZtEIzjRE+yM+nxu1mQEgIx3mbORQXM6nHJL6L/47R2/oz43MVcUdNjsJgNVDtcrHec8ZkbEQEyzxBUKEnONmapc66dAvL4KqRVzW5Wd4gKDJSvS5TSS1ZF12M5X/P4YwbxX1XXMxXoAY0jhuH3QifDYDlj34CMfGMuPRS2LSJnpe8zXJaFwSVFdb5Aoui7J4QHs5ZP/3GA9ddB1Ejic47kW3bgH4qoO5mshLsMpPmCYK0vTWgw/r5H/t2a9g999Q/0bXXwqRJWK2QnKSTk6ux54l34H8Pge5iU+Em4qrjiAqK8pXduHU3mwsDOzdt3p0ExPLLjQM4zvA172eV06OggKjKSsrCw/mtWGWF+sX22++15r2Xh7nK04vPBH3f6IvB1LKzJ2esX8/66mrmDR3Ku+++26LHAIwZ+RI7d5owx25TA7VvvRVt/nz6fvYZ+jffqLTP+PGqDbX3xGBCAlFDpsLPoOsG7rzVwRe3/Mitt2eg6304m8/p98Tl9U/i6YLFueeivdcPnvRMltqKgKa1QUyJw8Eyb0fTZTHoLf8aBNTn03GrV/satjT0TK9evrLEpeXlnLhWTTHgsHgyea0M7pItFmb368f6Vata9bg/devGM57n+rSggNigIJ7Ys0d1goyFZZM0xi/SueZ9jYcfcvFmbi5v5ubS16+SeLteTbgxgr/37o3u1in/rZzsl7KpWFqBIWT/pjpuk3q+xDFmhseplunXXeri6Yoy+jfYvsGeaf5y9+gYNDMuTEzrO43//OU7NhduZnn2cpZlL2NZ9jJ2lu5kU+EmNhVu4s3VbwIQHRRNH44BoCwmmKFXhVHsruKWb1Qrql5X91IHDe++y8zYWHaEhpLqdPJhSgr/vO46Hjv+eG4BXkKd71AxngZvPwSDPoI/Psa5+ES2JCXUV9b4BUHnxsdzy/btbK2tZYXBwOjERHjtNdA0EkITfGOQfMaNUz9NOfvs/W468XxwvANjVgZTUlUFufvYODSKiYtCOXW5kfJjzXS3WnknN5e38/IYGxFBzyFDKASqMzOpq6sj6ABjaQ8nEgR1sDNjY+lhtbLHZuOVnBzuSm28bKfIbufKLVuYW1KCBvwjI4PbDzCfx4qiHnzvGsWJNfMBsNcayLAGs6OullpTdMAZ1MigSCKD1FmVQRd8zbjQTIJCD3ymu65OjQkCuO+Bm/jXKzdxoOriOpeLizZtosbtZmp0NGOXL+fEG27g9NNP900C2RLmeDPJNyZjjjHz4ikvUr2zmqiTo5pcPmtdFv1f7s/Dxz3M2XecTTnl+01gGRwMI0aowM7bl+GKK1RDoCuv1H3VM7//rmE0qilSMhLNJGdayLXb+eb4dZy5/HT0H3Xuf+d+8qLzCDIFYUNDB0bVRjUaADncbq7YvBnHtGkkrl1L/vz5nHPOOUSiPunsTgcZffuye+BAJr6mHjPppknc9qfb9lufwWJBe+45+PkTQqaeSY3Fwsue91ZTrdG9b7vkoBL+VP00E3pPanQ5f7peHwRlxDrZAlRvrW5y+cTERH7++WemTJlCZmYmxx9/PGMGqPpgW4QNywALaVHqILCsroxv//iWvTv3UpZXxsTyiXTL78aunF3kF+RTV15HWU4ZAIUDClmwewEn9DyB7Ipszv/f+ejoXDHsCk7r03R3wdZYVVXF5DVr6GG1Uup0EmE0MqoF5XC6pvki6YoPPyS4BY+BBuPPZsyAE05g8K23Mvjbb+HbbwMXTk+HM85QB27HHYehTx+oqsJtMKixAddcA6+/To/p03ny/PO5+5ZbuMPpZHxVFcP8s1meI7fWnoS+4557+O7GG3moWzf8C9N0Xed1zwmbG1NS0GJj1Uj84mKOm3AcL6a8GLCe2DPU2cIVlZW4gW4WC92sVl/g4c0E7cxVTQb6GfoRUxIDnli0dlctZYvKAtZpSI0iNFTdZnPUoPXrR78Vb7Hx1FF8mzGYIrudOKMRwsO5/PRaPhkcCjHxaG43QwoLITycHk6Xr011aDNTFADo4Wrv1ZU46OEJgu6+Ow2eiuDXDeNhaQyMK2G16xauus4N16jgKvvbKH4oxhcElecb4au32Dj+z+AJwELOOKM+4PQ7YdYrXScnF3YMVN2fcDuZ8u5JAFw57EreOesdtX8ctQx+ZXDgBi+dDVzEi++4CLKFk39iMenA8MxMFg4fzuoqFaT1jws8XCxdUMqWq7aAW42/6P1cbyLHNT3usCHvibtal4sl5eW4dJ2R4eGEHGiM3eZNwFD0H+bBS3+CH37A+fnnGM8/H81uh59+Uj/+UlLQTb8AvTHi5Lv5ZqLmT6GOYEKoZhb3q8Dp3HPhnHMCxom1oPFhox5+WPVOOMDbxWd+aal6zztCyC5s/QHi2upqX0fDxjj9XoAbqPF+vnhe31XjW1cOF2YycW5cHMEt6HjpL8VkIcimUQc8sj6TWk/QlmSx8HCPHlz0YjhrR6xi4gKdBQ/14b9JlXxSUEBmVX1wp2swK6kH9idzWPJmLvbc+hNvfV/ui7VbYLOKsmQjVIL72GDmv6ayK5uXB/MoaihAUhLcHrqTusw69l0XwVspFfQc7iTuo8+o3ZdKVvADRAVFMT51PIMSBrGjZAfTMqZR46whvyqf3Kpc8qryyK/Kp7SuFKdR7dtiKil2V3Gy82TS83qiWTTiz4uHIDMfnHIK723ejBGYPXo0MZGRrHn6aXj4Yd454QQW+o0dGBASwqeDB6uSlHvu4fSqKjb36MH9q1ap7/5hw4j49795fc8ehphMnB0Tw4dFRfz35JMZPXRofWesdrb8mGPUH0ZSEoUFfdjIE5y5zspFgwfyxJ49XL1VzbD7S3k51/TqRWZsLMXFxaxfv57RzXU5PMxIENTBTAYDD/bowfXbtvHQrl1MjIxktN+bNs9m4/XcXP6dnU2hw4FV03h/wADOO8AZSag/cWUxutA09X5NMwazg1oya2s53r+Ti5+SJI2lg/oyxb8NbxO2bFHjZqKj4WMtmwd+3cU1SUm81b/hOZZ6j+zezZaaGhLNZmYPHMgXnlSSoTUtyYCgtCD6varOUPaiF7XGWlaEr2h0WafTiSFIrX+MbUzA7Q3nnBg/vj671bt3fcl5WlowxgsuxKW7uTRV49YL6ifhGxQaSq7dzpVXP8Xe7zaTui6VO1bfQd2jddw8+maGzepFHhDbxLfprKwsVlZVEW0289vHH3PRySezYsUKnFQQjIFa3Fx3zTXsNsQxZL0aHNvnkn6NBlSP7t5NzeAkGHwbp2ZnUBVdzLzSUt7MzeWpRrphQX0Q5HIbuI3/g7T9505paMUK2LdPndiK9ZTfVKyuoDZTfWE5HA60/MDtizfE893b33HKpaewc+dOynPKOZMzqTBW8Nmmz7h5+M289dZbvPB/L7B7++4DboO1l5XSQaWc+N8TObPfmazMXUl2ZTYD4gbwr1P/dcDHt5S3bMRbKnZqTIyvXr05hqAg+PlnAOpacbbVPwgq0jQijj0WVq6E9evVxKR1deoIa9gw9Sb1W7f3/exbx0MPwQcfQHU1d3z6KT9dcw1zg4I4f+NGVhxzDBHeM+ZtGcgA7DMa2eZyUd6gU9bKykrWVldj1TQuT0ysPyIsKiIuJI6K1M1UBdUQVhdCZRg4zlYH0cv8SuEA4v0yQbquk1egxlQOK82gckUlwekqsK/8o5KtVzeY2v7NGELDywCwOyv46fdt9H50EhurduAOy+Db4mKuGjWKNdt+4ZPXRkCYmsjSYM/DmbUNgqKw/DeP0k/U3Eq1BwhivZmgMGcF4agytrUDdKaHh6vTIP/XCwaXw+AKuHUHDFcBjrYqBm1CfRBUZiuDF3qyJO8leOUSCArCeFf9zPUfDhjAxZ7roaeXwFMbuQPVeUZzO4kLUfss3BK4vfEhgePAyuq64aB+VgOTJ5M7bN8+Fg4fzi67eo/7B0G6rpN5Vya4IfzSeBLf6E2otXUTIBr27YOoKC5du5Yqz/svQte5ra6O+7t3J8RbEVBdrboaeAyoLGISpXQrUF3i0DT0GTPIGzWKRKcTQ16e6mTlf3CekwPsAXpzK//Ha9xILSFEWmqYffty+t25sMkyOu+fQmmpGnflHYMFqrNYw+F4XmZz43MSNeV7TynccHsM2bQ+6BoRFsbqY44h126nfyODb/3niBoZFsZOv26qJk2jezPzl7UnzaD5Xlys20B4SAhXJyVhnz2bZa+/zjKgLL2Mut11mM41ETs9lrMNGpMefpwYPkVH58eUNCbcUMyehSojb4w0EndWHMnXJBM1KWq/59Q9X++uZDNxcari8eGHzfz97wm43fDWkxD+XSF1mXX06RPJwjEVLDVU8lpZBWlk8d/i+kYftY5a/v1H02PQTu97Or+PtcG34B4YyofnfMio/44im2xip8VijjZTaLdz+3ZV1fBIerpvjGHN1q2weDE1PXuyya/LptX7PXPHHfD++2xPSCDLYqlvWBAaCoMG8amuMwS4IjOTDyMjmX3SSTw/dSrtPTVpXW4uxRs2EBwZScyYMTBlCpGfqBPtVVtrmPTrCmxBqhnGefHx/K+wkP/k5zNq6FCKFyxg5cqVEgSJQNckJ/O/wkLmlZYycfVqzk9IINLThWpJRYXvzGy/4GA+GjiQ4S08m2zQ6j9JIyJU19wUXR0wNNchTmvFGWFvFmjw4PrlDc0cRK2vquLvnim0X+vXj1iz2Xew1togqKHg9GAmVuzfBtnhcDB37lyOm6a6YZmD678QnE4n1gZfAGeeCf/6l+ok+vnn9fPAhYWFYZ15CzVuN0+M1Un3S6oMCgnhx9JSig2R3PrvM1gzaQ1jfxnLcMNwokKjCPMcXAQ30iFsW00NT+zZA8BLffrQOzqab775hhNPPJFNm9RARbPJxBVXXEHZZ3by9SI294dPbPt4Se8TEAgtLitjlt/EsVaXkQuTk5lXWsqnhYU82bNno4GTNwjaW+c5UG3BgbDqCqcayJjy1P9d9bZqlmUs8y0THhoOV9c/ZvMVmyn7qYyneZo7uZOcuhz+4A/OSDiDjd9tJOO8DHK9wbcBghKDMMeYMYWbMIWZfJdnDD+D646/jp79enL/z/fz6spX+WrrVwD0je3LnEvm+DKbDb2Vm8vGJs6anhcfzwTPl9K2mhpezclB13W2ef5evGNyrmvioKkho9972tWK7nBOv4M4zRuka5qa4LSZducAMTExREZG1gf33bvDwoXw6qsYJk7k3RNOYMTKlWyvreWGrVuZPXAgmqb5Ar038/IIz87mqqQkglvQLts7gqjhkm96/h/Pi49XB2He9r6edv5jDbE8dOEDnL3vcT45K4wplTn8O7kvv3g6sY33/D94M0GFhYWszltNXpVa78BxA7H4zUtlSbIQc1pgR6xKUggN3QmAW3dw0h9/MLjPeVD8O4Rl8ENpKVclJ/P6ytcBGNTzLDYCroqtPLJgGf887Z/obp1STzam9ACfve4I9X8cHaLKyAqI58OiKv4aHs71vMkHtyxk0a44tCFPoc9QWTKz00jR3FgiTGCzebL7dhtsrIEgz/u0sa4yHj3TA3+f/sdavunxD3wT6Xz5Jdx5J6FAAYETOQ/OTmAj9UGQXqYOLId5/g+KjVFAYBBUtqiMqjVVGMOMXH1+GVt/Wcpv40YyKrJlZ5wza2vZ4pn8uspkIr60FJPLRW5cHE8EB/PB3r38p3t3pkRHq7rkc87xPfYhzw/vfBawzuUPPMC0adMwmM2qPCgzU50syMmBvDz0D9JgH4y7YRgP3lLC1uoQhg4NISys+aYx3j/fDz5Q33Vr1tTfN3Wqr/nZfvr0UYPuW0LXdX7wBEHD7DHMofVBUIjRyPDwcIa3YNkgo5GerWjS0phql4svCwtZazIxrRWP0wwakUTiwMHqE04iLkN935z800/Mnz8/cOES4D11UufNV95kCerz4+aF4ZQu3I0x3Ejf1/sSf3Y8Bmsz412vuw5DRQV9PGUc62wV/Gv6GizT1DHLTA2u19ycA7y3ei9xE0wUOZ3EpZtgg5Pzj63/vA21hPLQpKY7Eo5IGsH6zz+kBBiWMJQLB1zI0g/UOJjEK1VJ/N2ZmRQ7nQwLDeW+tPomHT0937lXJyZyud8EzmHez2CTCd59l/euugob4LrpJowXXMBLa9fyGeDwlLuf+M9/kjRzJnmxsXxfXc2Mg/y/bui/367nxj4W4jZVUDgGGDsW5xdfUhGsE1Gh0WMPDD0unvvS0jgmPJy4bdt4OSeHXM+Y75UrV7br9nQ0CYIOAYOm8emgQVy4aRPflZTsN7nc+IgIbuvWjXPj45sd3L7/etUnqdut5uspL4cEx4GDoL2V6sMmpyq0yWW8vG2ihwyB7b/8Av/5DxvGjKmfUM6PruvclZmJGzg3Lo4zPWeGvUFQq7tStZEluP7A6eGHH2bq1Kmc6pkqvKSkhB9//DtXX61OsHz0kfrxCnGHM940nsrdReRbLBiCDMSfE6+yd9nZFM0rwRYdQdSUKMoWlrH+jPWkP5qO7g4GHI2OC7k7MxOHrjMtJoaLPAd8SUlJLFq0iNOTk1nmdPLQDTeQnJxMwdeqlvuXSfBRTg7hRiNP9+qFpmnsravj4k2b0IGEChsFEVb61f3BaTHTsGga22tr2VJTw4DQ/f9fvZWV+2pjWdjragYYUzjQEGdvKdxZZ8GS74NhMehmHWNQ/eGwwxp4qtQYYsQYbiSZZP7p/ie31dxGjp7Da0teA09HvvT0dO69914uvvhiopqZRNjrldNf4eoRV/Pd9u9ICkvi0qGXEmZpvJRzZ20t123d2uh9AP1CQhgfEcHSigr+uW8fHxcWBtyvo9pTn9REFrUh//F6rQqC/Ja1NtJxrTm//vorc+fODWxFOmoUvKnq1uOAjwcOZPKaNXxcWEi3zEzy7HYckydDeTnbg4K4Zft2Htuzh6d79eKKxMRm/zZdOTlgsWDcsUNNXIM6SPrQU77mCxi9QZCnze/kKx/m1c8upuKEt9mZditbcnK4JjmZhZ4DcO8+9gZBubm5vPnbm+g16m/orHlnEe4XlERNitrvTPDWrf2xZf+KyovrJG+vpluBiQ2uNdDjChaXlaHrOt/tUE0b4hLGqck5qnbw7y0fce3Ia4nX431B0L5G/nb86VFq28KjvB3Wuqsg0bOdu5xFULKDa6NNvFmqwseJud192Tir1UpsbBLFxXloT4J++h0AZMTF8btn4kmAcL/g9PI+sbw6dQJR0bA1aQrxS5eo7mZe1dX4BjM2UIDax27Pf697vsq6DPekONwhPTEZzPSMri8RK/yf+puIvyCeWZfnEVoJhlV2GNHsrgHg9/JyztywgRpPZuLO337jue+/RwO+GDCAO6dNY1dUFMevXcvMlBSeDg4mzK9jKqDeYyc3M923waCikD59fDfpS4F9oJ14ArHDYELTjw5w6qlqHuLycpXx9hcW1nSlUQt6pvisr64m124n2GBgcnQkv08JqHbsUEuXqkRx//7wf//X8scVOxxctm0b5pAQnmzlcz5heIK17rUsrrGzwfO+jJ4xg5OPOca3TMg2O4mfqxMAUeOj+C6viCjPfSUv7EMDej7Vk8SLDtyIY9qMGSRbLFzuOdOnA3X+n8U65HgKa2LzYHBYGAvLyngx50WqyeWBisd9i4ZZwnjs+Meafb5vo7/jP8CQkBBK55diz7VjijUROy2W+SUlvJefjwa80a9fwPGc0zMHVd81a5qs0mHYMMZecw3G225Dv/VWtD59KBo8mPiyMsZER8OmTZgWLODS/v15/oIL+Oe+fcxoaU1mC5XY1fdRlc1zYmbQIN6Zdhp1WRojV8MXWm8GDqof1vFgjx68lZtLtieNKkGQaFS4ycScIUNYVFbGwrIy7LpORnAwU6OjSW3jIDJDfAzsAHdSCpGek+tRNcFgbj4I2lyWAujsLjvwmT3/TNCcPXtg4ULyG5szAJhTXMyPpaVYNI1n/dqMegODg80EtZQ5xEwQQdRRxwsvvIDJZPIFQWVlZcxqpr3oiRFn82DFeIrJpBh19jn+nHiO85y1HvtaLZvX1w8+dlW4yLwzEzuRQAVVdYGdt34oKeHb4mJMmsYLGRkBB5txcXE8ffb9FJSWcPKNd+AocVC2oAyA4y9L4yNXFs/u3cueujpOj43lwV27yLbbGRASQp/du/k6Ip344HLCTSZOiI7m+5ISvi4ubjQISk4GoxFcLiPH7/wPb+twVTP7cOtW2LxZlX1Mnw5r1qjgOuW2FCb+XWXjvBk4f0O+Dhzx2299Py677DLWrVtHeno6d955JzfddBOWVh74j+k2ptHJHBsyAOd7UvT+Z+F8dJ2xq1bxR4N5SzQg1mTiuMhI3urfv8UBu9F/Ms3y8vqp5A/AEhyserO73YR0QKnKhMhInunVi7szM3nB0xKZ61VnscsTE1lUVkaWzcZVW7bwZm4u/+7TJ3D8kB9Xfj6kpmLKzARPq/L38/OpdLnoHRTEZG8g6+3+6DlFflKvk9DQ2Lnrc04dch/fl1dzjOcLMsliYYjnfdrLU8KZn5/PR/PUGYmgxHi+rqnh0gNkZqzW7hgMYLWasdnsPHNrNSWjevLDjE3gdpJth1/yt7O7bDcmg4lcwoA6jo1J5Le9bs7++Gy+MX5DCepM/Y7gYJxud5OlkO4Iz2dZN7VP95KKS9chIgK7Efbp5aDBY70yWPOokRWr4IKLA0vUkpPTKC7Ow1hRjNOTsYyJiiK+ib+JY4YaCLJZKNsNJZ/9SIJzQ0AAwCmnwLJl+z3O5YKiY+NBr88EuT3LDQwPx4iOyxxBeuLogDmHir9Rmbz4c+PJ/EQ1bGnJLDOfFBRwxebN2HSdMIOBKrebCddfj/GBBwA4F5jqdHJvZiav5ebyUk4Oc4KC+M833zR9UNhC06erXglNVAM3adw48EusB1i9+qA2ycebBTo+KoqThxo5eUrr17Gjpob38/NJsVoDJg89kMJC+PFH8PZkaCnvu78tTez6mPqQYc/gg4Ji3ixR7yUGD1Y/XqfAtok9yb5zF/wKJdO38+Y10HMnnLjQSVDvIFJuaNnrfD4jgxqXy/eZPSwsjD0NmgFUF5aQ/9I2TikP5ZzevRmxciUbqleRyy425ue0Ltu1yk2UOQpzroHcN9WBV+KlidQZdW7yfPbd2q1bwLAHAG/uv+F8kA25b7yR3P/9j+6LF8PZZ3P+4sWc760OeEJNc3JrVRX/0jR+LitjcVkZE1twMrGlXCbVERKnZ1zfwIHMuuQSzvoYRq4Gy7bALsPJVitXJCXxxsCBpJ51Fjed1j7jdA8VCYIOIU3TmBIdrcoA2oGhTwYsAffgoUSprqdEVAZDDGTW1aHreuMHc95PthYc5/lnguYsbHo5h9vNnzPVLN93dO8eMED/UGeCTEEmHuZhVrGKbrd34zi/SSMjIyO54447mnxs2MtRAASNDyc41IQpRv2JpFmtdLNY2NLPzpCYMKLNZtw2N1Wrq3BVuRjDGLqZe+H+Yh14mjw5tm/nzpUrISmJ2376iX633hr4ZFddxaWfv0WOK4ef1p7DwDVh6E6d0CGh3DCxF3pOEDO3bePjwkJfxqJ3UBA/DB3KvZ65qD6JiuKE6mpOj43l+5ISZufnk9dEB7ewv0D5R0mwM2y/Ftn5djvP793LsooKwo1GXKujoEcsJ/QPJTJSHahOnjzZd8DaUj/++CPr1q3jwgsvZPbs2R3+HkgPDuaTRuaG0XWdh3bt4iZPrXaQwcA5cXFMi41lZFgYGcHBrcrCemmahndA3uwPPuAxz5cUwA033ICjiUEFPfv2Bc+Zf0sTJxUO1p3du2M1GPi4oIAUi4VttbWsrqpiRmwsb/brxz/37ePR3bv5tbyckStWcGNKCo+lpxPX4GDc5dkvRs/JDKfbzbOeI8c/detW/3/q/aL21BTFhcQxrvs4luxbwnGOdSw09PGdob06KclXVhsVFUVCQgIFBQWUrlEZmbrUHiwuK+PShi1dG7BYVGYqKMiAzYZqrW0Px+Cy467aChGDeHe36nB1TNoJLKtVXfZenXwnZ2Z9xc7SnZwVeRZlljKwgy0ykg3V1U2WJOdYDGgREJmqSn730V0FQeHhZEWqiRuDTcEkhSVhWaLB75DQ4M8+MSWNDRuWoyfu8s3rEdHM4GarVY1NXLQIflkRQv8bGpwMiItrdIR+cYG37EqvD4I0g5r3acYMErQ6cvVglR3zqMuqw7bXBkaImhLl+64wGpr/u307N5drt25FRzUDKnE6WVxejqvBchEmE6/268d58fFcu3Uru+vqOGHtWm5JSeGZXr24/04TH32k5kmdObPZpwzg31jvcPOtpzz0lKYmN22BHbW1PLpnDyPCwloVBLVxGKDvb7otQZBm1NDROW0uGG9UWWLNqTP5hpKA5SpDSgkdGkrNphpiNru4zq+xYa9ZvTBYWvZ5vGzZMkpLSxk5ciQJCQlYDYb9piOpGR5FPuDcUsvQ0DDOjovjd08lTWFBIyttxp8i/sRljsvIGJTBW3e8BUDv9N589uo8dhYVEWMyMSojg8V5eUz0m5H9052qbPeAB92axupbbyUFMCxerE48vfyyam3r6bTY49JLuSYpiddyc7l3505+HTGiyS7CreXydo51qcvnnE72JSRQHlMBRFC9Yf9S87tTU3kzN5e9t9/OpCNoPBBIEHRE877n3e766SXMJUEYYqDK5aLA4SCxkbOLWkISkAtJzR9glJerFvOg5hzUF6kn1Bop+Xo3L4+ttbXEm8381X90KYc+E6RZNMZ7/k16bhIGc/3zxsbG8o9//KPRx+m6zqJ/LgJg5BdDsCTW7ztN05gYFcXLMwuITovhCU8w4Kp2sfux3Vz/4kysdg1tuZvct3JJvjaZV8rK2JyURFxZGQ+98ML+Eynl5eHyzBNkNBop/NhThnKuOnN8Y0oKw0JDeWLPHnLtdk6MjuavaWlEmc24KlT2YFF4OK/et5AkSzycAeuqmukiNBVYHAk7wwK+FHfW1jJ5zRr22fzO8PQogXd2ss4WwqO7Ezj7ssswzJhBicPBf3JzucZvzMwbeXlUNFEK9kepOqi1WCxomoau69S43VQ4nVgMBkINBqwGQ4cGRw63mxu2bfNNwHddcjJP9ezZ5Jn31tAMBuJ0nSJg4bJlPOpXlvT2f/+L02Zr9HEjvK1+AXMrM8HXX389f/zxB4mJiYxrpv2ppmnM7NaNmZ4Stv9s305uUBCDgoOxGAzck5bGRQkJ3JWZyaeFhbySk8PsggIe7tGDG1NSfJ28XJ7/G+P8+fD227w1ejQ7zzyTWJOJ61NS1HikBx+sH0W+aROMHg0rVjD93ASWDIHfd3zO85Nf59bt2xkcGso9Dbpk9u3bV3WH2+i5oUcPWlJcaLWqOs/wcPV5VUUVUe4IeprjySxfDxGDWFim3oNpPc5gGTA4NJTB0aksuHIBk9+ZzPbc7Z5JCoGYGBaXlzcZBG0yGgmNajwI2hWllkmPSkfTNG9V4H7xSWSyOoh1DdsEnrdHZBMTtHpNmqSCoMWL4YYbml3UxztHUFxobf2YoH+8AIMtMGAA4fPfIdecjimifoR/+e9qzFD4iHCMIUa0FgRBr+fkcKPnDPiNycm81Lcvr+bkMCo8nL5NjFc4KSaGDaNHc+/Onbyak8PLOTnMLSmhW3w6RaUJ1NQcmu+KjpZrs/kmRD/rIMqWfOPyDtGJRO+ztCUIsiUbMe900yfPwDn9VGMjt8PNL7//ErBcBfUn64J6BlG+245Vd2OYlqi6rLXQHXfcwdKlS/nqq6+YMWNGo8sE9QxCs2q4a93U7anj/rQ0Tve8umK/E1X2Qjslc0uo2V6Dbtcxx5sJ6RtC2MgwrN2taJrGvjobYUDmp3k8xmO4cUN9TxNKgCuAk08+mR9++MF3e61nHKi1Bf+HbosF16efYpgxg9rVq6m+6SYsMTFElJer2sapU3nI4eDDggKWVlTwcnY2tx6gm3BLeYMgzamxvKKCxzzjmWes/gy4utEgqF9ICDNiY/mquJgX9u3j9X77t9w/XEkQdAR78zUXb77swmAysGGD+q+sLlVnQXbX1bGjtrbRIAiTOvOsm5v/79/oOSDp3l11h/ONd2kQBDncbp70nBm+Py1tv4ldJ0yYwLPPPkvfZuaxaU/+Z5DcNjcGs4HazFrc9sYPqzSzRkhGCO5at+9T3xC6/5fw6bGxfFRQwFfFxb4gyBhqpPczvRk7ei+3/xMm/mpg63VbKVxezpPn14IJnoiIIOqrr/Z/4rQ03M+/o7ahVqPkO3WmLO7c+i/LcZGRfNvIQHnDJz1hbXewuPnn90mwLwSGLEdPr4FfY7l+zwfEoc5A/sJEfsOTDdur6nyt29YDQ3DpOpdu3sw+m41+wcHc36MHu4uc/G1OCYwsJddaw9927+Zvfgf3/YKDOT4qijKbjW1GIy/u3UtOE9kns+dI7MuSEiIXL6bS5Wr0i9UARJtMJFosRJlMuHSdfTYbx0VGcndq6n6lBU1xed6b3oOFOpeLCzdt4uviYozA6/36BQRwB03TmAssAHaeeWbAfuKaa1RNkscVSUkM8pSAbQ8PZzUQbDBgbGUpw+rVq9m0aRP5+fnY/IIss9nsO9HgdDpxNZgU9eHjjyc7O5vTVq5Uc6UAqUFB/G/QIBaVlXH79u2sra7mrsxMnsrK4rZu3bguOZlkTaNnTg4RWVns2rWL+/7yFwAeSk8n1GhUjRA89e4+nhmWz11UwINDYO72uQxPfJkzireRFp5Cfnk40X6D8cePH8+vv/4K3qZJaWktOgCzWJIAiIhQr7WaamJc0C+6D5llqyH1IvYY1AFVXfgQqNSZ7Ak40iLTeOfMd5jy3BQArBHh2CwWfi4ra/KAYoPJRN9YO/RQBwa76IkZVBDkSfB7x9d4h5t5h0p5xXfzrLugAO/sui0JgkB1vmopbxAUX5tFovF79GMnMnTCeGY582DPHoocdjBDpimNWZ4DnaGLygkFIsarvzdfM5wmgqD38vJ8AdCt3brxT0/Jrzfwbk64ycQrffuqrNCWLeyuq2P3pC0weydzHYmcWJnAiBYOvqmqUn9qISGqhPdw8VlhITpq3G9aUBDffgtXXaXOEXgbz3gZjfXb7naD/0dqrc1zIrGVz9/mTFArn8ffFU85GLwOXj2pvsOtZtQY8H7T7fSs3a0ce1UYZbvt/O+B4DadFGtunjaDyUBIvxCq11VTs6mGUdNjfe/tTe5ydlbXYHyxkD1P7lHHAY0wxZoIHxGOe6dK37p/rWIoQwkZHsJ6Qx2VTidxZjMDPZ/xDedEPDU9nZDduzmzpdUU0dHw44888+CDPHrWWdz81Ve8/OKL8MILYDDQzWrl6V69mLl9O/dkZjI2IoIxTXxPnr9xY5PNgmJMJn71fB8APJ6ugjXdqHPWhg24gAs3b+bMlZ/xG1djz7bjKHNgjjKz71/72P3IbpKuTeLPD6byVXEx80tLsbvdWA7RSe+DJUHQEcz05ztUf+cHHyQyUg3uKy9XJVPeIOjYRr5ch67oyYY7e3L2881/0HjHA3mri5I9Z6wjGgQ57+Xns7uujkSzmRsbSdWPHDmSkX5/ZB1Ns2jEnRWHZql/fetPX0/NlppGlw9KD2LcrnGgQ/INyeworOakrevQG3zxO3UdDdhQXc32mhq6Wa2c5ilLqwqDL+N/52vzl+DQ4XVIfQNSTBpvWwxkHXsiT/6ghphWFFRwSp9TAChzl6nHL60ixBFC2IgwwgYf+Iv//ofScd9ZRJ3dAMYdMDSSTYWxZKbX0D3GxEPbjKSGqW/UD7a5iNlRxe7KWNYbjSQNy2X0LekAzM7PZ2lFBRFGI/OGDSMtKIiXPwfu687o4x3M/LCYjwsK+L6kxPelsbW2ll7eMQhhYYHf1g04PAfilW53QEDQkBsodjopbjAvxceFhXxSWMjDPXrwUHr6Ac+Efl1UxDkbN3JcZCTfDx3K2Rs2ML+0lCCDgU8GDuSMdh5EiqYxGhgNLJ4xA807qSmolqd+bkpJ8Y27WVZRgSkvj5Ojo5vtttgYb6Bz1llnBdy+Zs0ahnm6Dj399NM89FDjXY4aO8CYHBXFylGjeCcvjyc9kxs+7Al+p/bvz32FhZT99a+cGBxMmdHIaKuVmd6/9XHj6gfqf/89vPGG6jrywAP0nzSJk3c+xryd83jq16d8z/fqild48oQnuXvC3Rg0A0OPGwrP+W1Q//71s903w2JR2ezISHU2t5JKDG6NIT3HMnfFvzG47bgtcQRFDeW3WiPg5GxPS26bzYZtm42pOVOZz3yizBHkAwvLynDpeqPvtbUGnTP67wazk9paK/nBicS7HBAR4csE9YzqidOp2i4DxDc4qZ3aWwVBhuJ83J63Y3BY8x2exo1TB8lZWfu3cm6Kt/9OojuXcXFvw8InwGTirws9tdMh6qRUrtvCX3ep295ab6YXEDpEHch5M0Ehhv1HBf1UWso1niYkt3frxj8ajHlsqROjo1k/ejT/l53NExuzqY23s5C9HLNyL/2Cg7k4Pp7kA6z31FNVHP75543O/9hp3vP8J5zveRPY7eqcwfffqznr/D30EDzmGZO/dSsMHOh357E6PAGF+a3bv20NggxtLIfTdZ28RMibChET6o89NING4qXNV57YjJCDiQ8/9FUKs2wZXH5504+5916/0r0DfF6EDgylel01VeuriJ0eS50ZqIP8WPjvRSuY8q0KfkKHhRJ5bCQGqwF7vp3q9dVUb6rGWeyk9MdS77RlaMBHN37E9w+G8vuOHUQajawbM4bkJsZ4fnfBBfDss/v/xzcnLAyjZzoSV3Q0zJ6t2rV63JSSwg+escAz1q/np+HDfSfa/O2qrWVzTePHP/F+Zw3cuk5Pm8bOIJ26/nXk2lXm/NVNmzBTjTWiDltFEDUbawgbEcauB3fhqnSx7/l9DD87js8HDWJabOwREwCBBEFdhjfWKS+HjOBgfiorI7Op5gh79gJp6tuUpr9NPcMn8E4JNC4ykv+gxsd4OdxunvScRbwnLe2Ak+EdCgaTgcFfBE4aaIoyYYpt/O1uila3G0ON3HRzLSsrq6msbPyAvZvFQrbdzuu5uTzcowe/eEod+lx0D6vKG8xhpAMO9RMzP4YVx6zA2t1KXXgdSyuW1m8vBhwfq4O4pCuTWvQah03vzifTA89WLyorY8qavdQNKyHl5id833yXen5+/BGm/rqRvCmFzHFlcIse5svg3ZeW5quj9h7PXjDNzJVJSVyZlMSk++5j8auvYj3tNEJnzqTO7SbUaESz2UgKDyfaZCLabCbKZCLKZCLac7koJobPgTMSErhx8GAy6+p8JXAuXceh69jcbmy6Tr+QEIINBsqcTj7Mz+ezoiJPzy94dM8enszK4vioKOb5tRftvXRpYDmD54vQpetMWbOGFZWVhBoMfDNkyEEPvm6U39HFxJAQJjbWjKERYyMiGNvGSe5OOOEE1vj38m2FxO7diWpiG42axrXJyVyZmMinhYX8KzubJRUV/FBezg8WC3iyyj2DgvhixIj65gHdutW3OT79dFi7FpYvVwM7vvySt858i1u/u5VKWyVT0qfw297f+H7H99z7471klmby6umvkhebB0lAHsSmp1OckdGiAzCzWUUR3uq1KqpILaskqudEWP4C7pLlEHcc9qHPU+d0kmg2+zJB559/fsDkzXH2KKoMqk36mqoqjvEridN1nft+e5Ey02hMfdTZoeq8blBwCSN6ngjhF9RngqJ64hkLj6ZBw6EgaRmeLElRASExIdRQQ52xjuaEhakhAcuXq5K4lgRB3kxQIvlw0UWqBS9wbVISdreD99Z9AImngKZxSUICwQYD3feoGr6QASpjrAZx68RZA9MrmbW1nLNhA05d58L4+P2avpQ4HCwsK+OdvLz6FsB+TomJ4cok9VlX6nAw0/Nlk1QQya4KGym93BSGV7O1tpa/ZWVBRATvrlvHjLg4YszmgO55AIWDgQor+HqMdb7lFRUsr6zEomm+sW0jR6r3g/f90WKel1tW3LYgqLV85XCtjJ5cfk/Y2tK9Pn1U53P/nh+1tfXHIY0pLa0Pgv7v/3S+/rrx5S66CAaMCqfgowJyf6zg0W1QEaxBJQzYZWTKHDduoOTEYBLHx2A2qs+24Ihgkq9NJmKCGgtT/ks5mXersc+1p4VROyuZv6xTHTSe6d27yQAIUGcxIHCOqxbwjsV09eqlXogfg2deyYmrV7O2uprJq1fzyaBBnNDgu+61fv2oauIkpK7rfFdczJdFRXxdXExekOf/0KrmnPq7ZQgLiycCewk1OzATxG/vVaF/Xkeo33FS3lt5THy2P810Mz8sSRB0BPvP5vHMZwLnPT+XSOtTwF8p/89nDLtHDUzbXFMDt9wCc+YEPjD7GSANbW8WzQVB3jkSMtT8go2e5fsgP5+ddXXEm83c1MSAzdzcXPbt20dcXBw9/WbrPpRGLmlZJmr2gAH86glsGrPXZuOuzEzeyMnhrm7d+J/ndF3FvP9Q8NEvRBoMfFRYQG6NndF5ZvplG7DttZHiTKFqVRVVq6pw4OCv/NW3zjTSiKyMxJxgJunalgVBjZkQEUGk0UiRw8EfFRWMa5AF7NsXWOAtE9NZWFbGlpoaIo1GX/lKUZEaewAB03eAzQbl5fTRddZ7Gk14u8NNmzgRcxM1KKUhIXwOdAsOZnorsjAjw8KYU1IS0OrUqessKivj+b17GR0eTpTJRInTSXkjH+5/VFTgRHV8+2bIEN+cNO3O/2+iNUccNTWqztRgUCcjDtCa2d/TTz/N6NGjOemkkwL2e5hf6dCf//xnbm3QiOOs9etZaLPxm8NBc3+FJoOBixITuSgxkR01NXxYUMCisjKqXS6Oj47mntTUgMkZA1gs8NNP6vTtl1/C1VfTfeNGvriwvvZH13VeX/k6N825iddWvsZd4+/i621fw8VwauWpDL70L/ydlp2FNhjMmEyxhIWp0s8qqkhwuBjYzTNZ5L5PIe443Jr6qru9e3dMBgNbt24NCIAA4qxxFFRvpzq4Dz+XlgYEQc/89gwvbF0M/UaT0FeV/iUVnQZ1LzFvxxxuHn0Rv0y5HsLhV9NANu/KhOvBGgzfl0Ux3VMTV+Zw8LUnGHEXFxPqiKeGGqq1Jsbx+Zk0SQVBTz6pAiFQb5sXXqhf5oUXVBYBYPlSF2BkLcNIfeNMrrbX8eDzFt7s358/sv/gva3PYIwcjCu4O5cmJnKyNZJf96lxc6ED1Pux29nxuGvdGEPrgw63rnP1li1UuFxMiIjg3QED9stm3pOZyX88Y/AaE282+4KgWreb2d6ILV1d5IDvDdAnKIgdtbX8XlnJ7w26OvpcpH62V44E2nZyob1554a7KCGBBM8JhPR0yMtTcyE35F+53rdvYEe3h37U+Sfg9OuzsnSpChqacs456uPJZPLFvy0WYTTyZp8+rF+79oAZFn/+n8SmVgZBX3wBq1aB/yHCiBHw669NPyY9Hb76Sj2PZ87qRg0ZAmMnqPdF3coK3v5Jhzj1uk7yTF9kAOJ+qiX/p70Bj9Uf0Ik+IZqIURGYwk2+IKjwkgj+tHUTNs/0F9cfqMx65Ei48krwn9qgBYye70BXE/sz3GTi5+HDOW3dOpZXVnLS2rXck5rK4NBQ7tixgxOio/lfg2ZBlU4nczyBz9ySEir9vkMjjEZOi45lRmwc5ybG8fD9Bp6dfQFwAdcU7+Rysvj9tXLCcTIWMI+NwrGsjIKPCyi4IINJpx5ZYcWRtbUiwB/2YXzEIPrXbiG5djcA5TUmX8nN6spKdVTboAfoMRPnsPf4UmqHDmy4ygANg6ArrriCCy+8EJPnE9Xpdvs+6O9JTVXjAxrxwQcfcM8993D55Zfz3//+ty0v9ZBJslo5LyGhyfvdus67eXmsra7mnp07eW/AABUcJiTAmCE8v3cvv2RmEmow8OTo0aQHB6O7dGp31FKzpQZbrg17rp0exT1w17px17hx1bowWAyk3puKKaztf5Jmg4FTYmL4pLCQOSUl+wVB3buDEQMuIK9I56M6deBxQUKCr8Tx669V1drw4YHtZt2eD2BDK08teselGFuZIUwPDiZ3/HgKPVmerTU13Lp9O7ttNl8XwuY4UXX4swcOpEcbW9C3iKapWhxNa91gBJervl6qDaUDwcHBREZGNhl8BgUFEdTgdVvDw8HpJN/hYJcnS2zQtID9k2uzBQSeRk1jfXU1pU4n/8rI4LiWjF8KC1NlG8cco5okvPgiPF4/F4emadw46ka+2fYNc7bP4elfn+a3vb9BJLz68Kt8UqHBzp0tKocDVRLnDYJyyCeudz7J4ckMiBvA5qK1kPkKCf1mMjUmjrs9DRkaBkAAPcN6sij7B8jow3clJdzjyZh9u+1b7v/pfhjwML3IJLmbOvMbtuFUTjhxMz/n7+BVcxgMugSAL2sA9sIlqvnbglLdFwRVuFx8arOplm82G0Uro4BCPn15Ij/6fTQ+/zxccYW6vmgRnHde/QTyW7aoH1BZBf8g6NtvYcEC72/qb24LA/ik9nfiX7VTe+0xWEaFs6VIrSDWVUIB3VlZWcnE3eoo3Bxvxhyr3lcD39//O+Kf+/axuLycMKOR9wcMqJ/x3s+sXr0YFR7uy8w2NNwvYI8wGnnR8yXz+pwaNlXV0Kt3fcf1G5OSqF6+nKKhQ3knP59NTVU4OOE/wdtZusGKjhq7eEZcHOMiIg5ZQwGvTwsK+MYzNcL9DTKvZvOBPyqMxvrsJkBMnA4uyOhV/zreeEPNcdSU3Fw1x1sTDSqbFWQ0ckVCAnMdjlaVODoPIhMUFFRfBucVGQkNp5FqyqmnbmXKFHV9585fWLfuY999v/8O27fq5Bpy0ct0/nLlA+wbu4QxP+xj8FeVmOLMlE4PZVVVJaXOwJNqmRE5VKwup0dQEGkVRvRzDOyJdvNjt3zy61z0DAri3f79D1zWfN556gfgT39qMsVljIiAyy6r//2XX2DQIF+XzsbEmM0sGD6c27Zv5628PJ7du5dIo5Fyl4sypxO3rrOrro5FZWV8WVTEvJISbH7/V8kWC2d55nY8PioqoJytRw+Y0K8Itm7FFhwMtXASBb7GNXFP9qX8Txuo2VJDyG8FcGrLuxceDiQIOoIZBg9UE1hedwORPevgASgfeTwjwtRBTWZdHeVPPEFkg/6hNXY7ix0O+ic3nXXwTsoN9enp+7Oy+Oe+ffwlLY0ne/Xiw4ICMuvqiDObuaWZgbCHujtcRzJoGi/17cuk1av5oKAAg6Zxd2oq0SYTXxYVca9np72QkUG6p/ZXM2qE9AshpF/Ts8K3l+mxsSoIKi7m8QZZN4MBosM0ioCsfBc/1aqR2xf5BX2ff64uzz03cL3es1CNdQZszrhx47jtttsCWoW2VJTZTJTnaKFPSAhToqL4b34+c4qL2VJTQ7UnwIoxm4k1m0myWEgPCiI9KIhBISFMjoo6NG3Zv/uu9Y/x76Z3iP4uvF/Sf87M9AWS8WYzBX5HGRdt2uQr8WyospkxXfsJCoJHH4Xzz4fXX1elcQ0C4WtHXMuc7XN4e83bAIxMHkmPqB7cGObkooSEJk+qNGSxJBAevgmArRHV2E5T79GnTnyKiz69iKsTY3jluEkBj1ntmQTmkUceYffPuzEuNjK5+2TeKboXet/CgrIytlRXU1y8hks+uwQsMRjjJ3I5nhboC6bg3pbChbddyM/77iM6/3tK7erU/cwxM8naaeWbb9S0UZNuivI9b7jRyB3dU/lXaDfctp3oujoQctalUuSXHfDPFDgcvvlnfe65R03k2XB4wdVXwwknqOvvz9rL1ppUzuy3hYhcDSrq32reIKiv2UEBML+0lBsz1edTcN+mxyxsqa7mfk+r3+d796ZnE+MbEiwWbm5BcwSAMJOJ2z2NKKqKVEbgllvgmrO8r9/BXF3nsm7duCc9na01NfxUWsqSigqWlJeT6d1ZJthKJVuL6rNFz+zdS4zJxKkxMUyPjeXUmJiALOYvZWVcuGkTlQ1KlJ7u1Ys/ebZpaXk5J61du992hxqNPNe7N92tVoodDvXjdLK7ro53PVmwu7t3p38rsrxNuWl0DGufGMn9d9T/TQwcCFOnNv2Ydmh+2Wr+5XCtzQS1lXfC7csvT+MSdR6Cl1/ewOuvv9zkY84yncWTV41kyQOZODHw3F90vh5V1sTSTjXOwPu56Euwu8gIDmb+0KH7TStwQEuXQhOTimoJCYFBkCfD5App/vghxGjkzf79mREXx107dvj+Ln4sLcW8aNF+3Tb7BgdzdlwcZ8fHMzo8vD6Iq6pSKbkbb4T8fG4BbnE6gUrcdVZ+5QvcBGMAIo6NoN+mt9i7ZwWZXI3r7ytw/mXaQZ3MPdSOnC0V+zF4WhkWB3WjxpOJLXdHEGtR43aybDbmOhMYGxvYla2sfA+U7+LtvDw+9pYhoHq9P+w5/fb7nhpqP1kJGozMAXJU2YLL5cJhs1FVU8Nj27aB3c7tKSkYHQ7sLlfAJJh1nj9Cu2fgfFcIggCOjYzk1b59uWnbNt7Lz/cNfvW6NinpwKnxDnJqTAwasLqqihybjZQGNcrx0QaKgI2VNZSEeMZIREXh0nUqKmDeT4ABzjwbXH7xzhkJCSwFerpclJWV+b54HA4Hu3fvbjIjMX78eKZNa81UdE0LM5m4pVu3ZgPuTlNR0XQ5nMEQeFq3srI+CwT7BQcd5bz4eJZWVGD3C8BCGvxNBnvaljeUFhTUZOehJp15JkRFqcEpy5btd5p3et/pxIXEUVSjjvBvPOZGQDVeadh8pTlmcyLexELOADdf7RrDMMNCoojie74HYCELfcsP+3GYb0xV76LeTFk8BYDwxHDijC6KipdA3LGcvOQrcpdchdPtIG70Kxi1Iibpv6gBE/+9ArvBzjkDzuHmjx+h9MMCGPQ/YlxV/Puyl3h1gcY3r8DoM2GGXxVotNnMP/pksH5EBj/9tNN3u/H8u1n50CmYjerz0//jY9y4+k6d552nJjEePLg+U+TPN4h80ya+eqgaSOXq2yOImFWKrQJqt9disBrIX68+s06ICOJXG+zYUk7OcnWQZYo0Ub3RU56nqfFBmqbhdLu5cssWbLrOKdHRHfIZ98AD6gdUDF1TAy6XgZ07B7J4scHzpxJCamoI7/1JfQ4U2O0kjq+GGBsT7ylhdbDKCjrcbuy6TonTyYcFBXxYUIAGjAkP58ToaFy6zjN79za6HVl1dXxbVMSuujp+Ky+nupEpAKo9+6MpF8TH80Q7lX8nBJn57InAz9i771Y/HcHhdvNtSQkrTCZObcWJr4BMUEdsWCNefPFFxo4dy3jPlAMAo0aN4uGHH95v2YrlFZR8X0Lk6kgK/1eIs9SJtYeVdeP0+tlMG0gPCuKpnj3JstnIt9t5Oy+PGpeLO7t358EePQhrba0hqA4YTQwMczVYn/H009XtLewqNyMujlNiYrh6yxZfmakbsGgao8LDmRodzXnx8QwKDW38JKHNpsZ2NlJ6atBtpPAt+zgfgO53dIdddaTUfkw2p1JXl8zOv+yk70uHphNwe5Ag6AjmPVb597/rb/OerBgWEk6WzcYlD1fCZ1EBjzNOCEN7ApzoVPid3bX5fdDv2gOEqfsqvIusXw+ffcZzixYFNHJ6yPMzZcoUFtTXYtC9e3eKPRPFwaGbLPVQuD4lhQEhITyZlcXv5eXUut30Cgri5m7duNV/AslDLMFiYXR4OMsrK/mupIRrGxyoJMZqbAY2Jaos0AUJCRg1jfM3buTTwkLwJDWGFgKL6h/3pOf1fPn554wZNYr7778fgKysLM4///wmt+fBBx/kcb9SqC5ryJCmp54fNKi+1SKomnD/g6dDdHLgmuTkA7YH/96v6cRBM5tVJ6PZs1U7rAZBkMVo4S/H/oV75t/DcWnHcdXwq9r0NKoczvNLZSWaxXLAAUW7Pa3MeyX0woGqF0qclMgnZ3zCaV/ciC1mNHtNKZBxO70ju5EZ0p+z+RqDphNmnkDV7p7YQ+3EhcQR9f1XlKwfAwWDGdbvbqipoahInf1v2BnOq2fPwBIpV8p2nLHrGZZyzH7LhoXVdwo75xw1Jui77xoPgrz0R/7GDl5Tr/G4FKoMqmx500UqY3ZGxBm8dddbjI/vzaTKSM67tZyyDbkAlMwtoWSu3wGaBuN2j+MFPZ/llZVEGo282a9fh3/G/etf3uNEI9An4L6xY1VFEajPPFap4HHoAw4Wu5qe/VIHllVWsqzBAV4PqxWrwUC+3U65y8Vz+/bx3L59B9zGIE2jZ3AwFk2j1OkkyNP0JdliIcxo5CZP+/Brk5M7blxiB6hxuzln82YIDeV+XaeZ4f4BQo1G/jdwIM4muit2hIyMjP06YY4ZM4YxjYy9qdtXx9K0pbAKtt2s/m9Sbkhh/bhuTX5kGDQtICv9eM+eWDStTZNr+zRzYlB3OGDuXN/vA0aO5PL8/FY10rEaDIwJD2d2QQHnxcXxrz59iDObW7bNsbGwb5+qp/QqKgLPWOCeK27B+KmFoD5hak7D0msxzphB399srLu2hLKFZbiqXQHjCA9nEgQdwc44Az75RGUv3W511qysTN03LCSMb0qLMA2sIuiHBg9cF0v0HRN49b/OgE4s0X5nIKp3BMHfxjBxErz1prptW2goFz/4IE0MTW2W0Whk8uTJbXjk4eu4qCi+82REdF0/bIK86bGxLK+sZE5x8X5B0InxkSx0ZoNJfeRf2Mz4J3/Hn3gi3bt3p6SkJCDro2kaIc2k6ZvKEAmPU089ZEFQp5g0SQVBS5c2evefJ/yZiwdfTFJYEkZPG+bFZWW8mZvL7xUVXNrI+/Oa5GRfJ8Ol5eVsqjbXB0FVVey6KJgbn2h61nKH1UGNp13swBsGEnJDCAaLAXOMme50Z8NVc7l77Xy+ZgAkT8c7Au2K0G1QDVExU6kC3NVuKgtdKgAC2HI2o8LvhooKCgtVENRwjiCvtIYd+kJhefZyjmkkCPJ32mkqCPrhB1Um1+if19q1ZH/6O2VEYzDo9O6tUXBNMtn/zgYddHTKtDIA+sX24y/REawNW4/DBGYnGMOMGILq35PhY8LZGuXgb6t3A/B/ffrQvSPH2XnMnKm+09xuFzt37qJXr54YPO+RhrvvscdUsvXicYnc5Gy6C6RJ01haUcHPZWX8WFJCrmfAzJ4GkxpHmUz0DAry/XjLbBMsFmI9O92ACsBCjUZm5+dzyebNvsevbzAny5SoKMZHRrKhqorF5eWkBwVxWlNvjkasq6rih5IS+gQHc1ZTkXU78v9Eak0BtNVgaHZMbWcL6h5E/LnxFH5aiLvGjWbRSL4uGUsrsjktLdNtL1NjYpjqaTH56O7d5DQxAXe0ycTTvXv7fvdOchpmMjXfta4xERHqx8svC2VMT6LnLL/3bkwMxMQQ0w8GRRcSc2oMxuAjIwACCYKOaCedVB+s5+SoTrXeqpwx0WGQDX1Pr2TjY4092uL5adzuHQbIDmFYLPTxHOP2GT2aosJC/m/nTv6cmUmc2cy60aN9HwoNB7/v2rXLNx7IbDYT3Jr++EeYwyUAAhUEPbJ7N/NLS7G53QEDl/80PJ6HLuwH92+hu9nKeM8H3dPR/fj8uL64XbBsOWT0DlxntMnE3kZKR3r16kVZWZkEO831cW343vAfX9DV99tYT5e25cvVmZpGAr5uEYHljdtqa/mvp8T0Uc8Xub+pMTG+IGhZZSXzyjTO9guCghIjsSY1/aWft0eN17BarUQl7j9uLCMmg6+Oz+C74mKezsrC5nZzW/fuJO3aQh0QETsOY7gRV6WLFXNtgOcD0h7G1auBoiKys9XJh6YqN3v7HayERIVQY6lhcdZibh59c5PbDWp3JiSoCsO5c1XF4X4eeYRZqEztmDEaISGQ/nA66Q+nA7CpcBMTX55ImCWMHlE9SEfj+VeiiLmwjH7boP8H/YmfUX+gXetyMXrlShy6zpmxsVyW2Px8L+3FO2eOw+Fm7tyNTJvWA7O58YOr+kSAhcRmvtcA+oeGcpXn5FCxw8HWmhrKnE7MmkayxUJaUFCryjEBhoaF8VQzpW/eRhA/l5Vx+44dnB0Xt98cfuFGo++9WOty4fArLVtYVsa9O3dyZmzsIQmC/P8iWtqg5EjR67leVCytwLbPRs8nemJJ6ITBU230aWEhG5qY9DTVag0IgiKMRko9E7geNLNZpaSrqlQpdxMBfPzZHf/ebG8SBHUR3s9Tlwuqq/HV72+uqaHM4fANMG+php3hvIp0nccLCyE0lEcyMkhuZu6VcP9xEOKQGREWRpLFQp7dzsKyMk7xm6gkKgoiziikAhhVmugbDPn1xybcZWr8wZj+nbLZR7bWDIztjBHLnWXwYPV6y8tVK/AWjJE4Pz6erLo6ippoa5Xkt/+GhoZSGdO7PhNUXsU1yRmNPs6rwFMnHx8f3+zJi9NiY31n653OCn7drHJCYWHDsKbtpWZjDet/qsMXBNXEk14TBNnZ7N2rZov3NKPbz+jR9Zmq7t27s41tzMuch8vt8mXEGmMyqS67zz0HL7/cSBC0ejVff+XmZWYCalxNQ2vzVBA+JGEIBk0FpS/37cvmguUA/BZWy1meZXVdZ+b27WysqSHRbOb1Q1AGdyjFms1MaIcytUGhoY1OUtnY8wF8UVTEFw16P9dNmoTVs2+v37qVDwr2L+s7VCVm/v/HPf74A03T+GDAAKZ5/h4+KSjgRk+pn78ql4vjIiO5vVu3QxKstUVwejBjtozBWeHEmtzKDEknm5mS4uuY2lDDwP2h9HTKnE6uaK+TFtHR9UFQFyJBUBcREqLGV7tc6nijWzcLvYOCyKyrY1llZcCBcEs0FgQtKC3llu3bKXe5GBkW1uLuP+LQMmga58TF8XJODu/k5QX83++qraVykBqnZVqYCKerE/Svv67ub252biFazWyGfv3UeMLNm1sUBEWYTDzawgHlx0dHc4xxJIu9SUqXHUcB0MyUVIWFajxcfCsO0qqqVODgdsdiNscRlFZIzcYa9vwRWJqSSzK99u7FO5yke/eGa1IyMjLo378/W7Zs4aJzL+JF64sU1xazPHs5Y7uP5YN1H7AydyV9Yvpw/THXYzHWB3433gj/+AfMm6d+Tj65fr3Z9/0fV6O67d19d+B9Xmvz1WsZllg//itDs5Jbpq7facsirky1lX58zx6+KynBAPx3wADffDeibY6NiCDObG4ywG+OETi5ld/jbRVsMNA3OJhttbW+edj8M1N2t5uyJib9XFhWhsPtPmyDIFATox8pY1b83dSKY66GpfAHLToa9u6VIEgcnjRNZYNKSrxBEEyIjCSzro7fy8tbFQTpemAQ9Ft5OQ/v2sXPngFH8WYzHw8ceMjnXhAtd21yMi/n5PB5YSEFdrvv4OXprCx0DfgjmsXvh+J8Wg2y3rJFvX8kCBLtbsAAFQRt2tTsgOC2MpsTAk4C7dhRzMCBTUQf1AdBCa0Yu1BdvR4Al0sFZ9Y0dQa5ckfgrJc5pJC6J8dXptxUJkjTNObNm8fPP//MhRdeyPY525m9YTZvr3mbudvn8sTiJ3zLrspdxVtnvuX7vXdvuPlm+L//g4svhquuUuX7PSy5vDjvNkqIZeTAOp56qvFxO6vzVHvw4UnDfbfZc1QHT7sVdgc5mejpngeqq9Tr/fodsgPwriw9OJi8CRMCuqh5Wfy+T9/u35+3+gem5A1wcIPxW8GgaawcPpz/zpvH5MmTMZtMpPgFwDPi4tjazKSfvQ7BmDFxiHmrfrpYENSFR+QefbxZfW+HuAmekrjf/aeeboH8fFVSp8XaecSxieNWr+bnsjLMmsbMlBQ2jB5NxgF61ovONTI8nDGeyQr/5umE9W1REW94js4iv+lBfj58/DH85S/qMTfeGNjJWYh24W1t5jdwvD1ZLIloWv043t27A1vPzpmjxvV6x420JRNUW6tK4dxuNRFgUJo6yItx1hEXV9/4Lpdktq+rRddVCX1zcVZqaipXXnklQUFB3DxKjQV6Y9UbvgDonAHnAPD2mrfZWrQ14LGzZsGoUeqk1wsvqGmYrv5rMmsZTpylnI+/Cmq06lLXdVblrgIIaMJgL1BBUGiylYsSEwgyGIg0Grk0IYF1o0dzZVLTc8qJ1jFqGlZPFzn/H/8SNHMj9x+qAMjLajDQze2mb3AwfUNCAlpBR5hM9A0JafLH1JWbvRytumgQJJmgLmS/IMhzw9KKClytaFm5Ywcwphjtoc18XOTEgMosPNCjR8Ds8uLw9nSvXpywdi2v5OSwobqaxZ43xg3JycRPiuLJxfVzssXHw333deLGiq5rwAB1uWlTh6zeaAzG6DATHu6gtBSysuqDILdbtVLevRueeEJNf+E/Jqil6up2edan6uu9maAEbEyaVD/VUy7JaOtV+dDAgfv3xGjKcWnHcVb/s/hyy5cAXDz4Yj4890OmfzidudvnMnvDbP425W++5UNDYdEieOst9dpKChxkzl7OYNda7n1jMOkZkxp9nr0VeymqKcJkMDE4YbDvdkeBKs8KSrAwe+BAX0ObrjT+RwhxELxBUBPzGx2pJAjqQhoGQYNCQwk3Gql0udhQXc0w3+jh5r1YuAdm7cJtUF1t3uzXj2MkRXDEOT46mntTU3l2715fAHRtUhL/7tMHx1/V1C0rV6oz1h9/XP8ZJ0S78maCNm5UtbYdcGBtrjYTEaEO5HNy6ucm27xZBQle//kP2O1tyQSpiU29QVBQD3UyKJE6Jk2CnZ55T3NIoWivmm/N+7JbQtM0/nvWf3l+yfOYDCbuGn8XABcNuoi52+fyxZYvAoIgUONAb/XOXv/2+/D+Nap++bLArJG/NXlr1LbFDyTIVH9Cy5sJ8nbKkuBHCBFAMkHicOeZssY3V5BR0xgXEcH80lIWl5W1KAh6cs8ePotWZz0HZiaz9Oo+AS2WxZHl6V69mBwVxabqak6Kjma4J5g1h8Dvv6vOxf37Q1wzA8mFOCh9+6q2ZpWVakLZHj3a/SksJfXlcPn59Wcq//gjcLnPPoOxY1s3JkjX9f0yQYYkFUDEY2PIFJ3aWhU05JrS2ONUJXPjxrXuNYRbw/cLdE7JOAWAdfnrKK4pJjakibllPv5YXV51VbPzTq3LXwcENkWA+kyQOaGLt2wXQrRNFw2C5Oi2C/FmgrxBEMBJnjfut8XF+z+ggRf27uXBXerLnld7cW15PwmAjnCapjEtNpY/p6X5AiAvi0VNAi0BkOhQFkt9Sdz69e233gULVI1bVhaWnFpfEFRYWB8Eeadk+tOfVMazuBiyslqXCXI6S3C51LhKt1sFTmv2WXADFnT6JTlIUXEPO0OHsITxABx//EG+PiAhNIEBcWrfLc5a3PhCRUXw44/q+gUXNLu+poIge2FgJkgIIQJIECQOd975q/zjnbM8R7g/l5VR3kRLS4CXs7O5O1MN/k3+Lh0+TttvjiAhhGiTIWrenHYLgpYvV7NFP/QQ9OiBuUT3NfUo9vsAzMpSl/36wZQp6np2duvGBHlL4czmZECNBfp5kYFSz6Sc9mwb3m60v5YPwY6V5OBS+vRp+8vzN6mHGt+zaPeixhf4/HPVFm/ECJp7Ul3XWZa9DIBhSU1kguIlEySEaIQEQeJw5/1O9zQ/AqBvSAgDQkJw6Dqf+d/h553cXGZ6Zry/LzWNqldVuYoEQUKIduENgtata5/1/eMfquuBh6W0vhyuvLw+E+QNgtLS4MQT1fWKitZlgrylcEFB6b7bfvoJCj0BkW2fzZcJ8pphnNNuQ58m95gMwK97f218AW8p3IUXBtxcWF3IY4se4/4f7+euH+5iwn8mkFWehcVoYULqhIBlvWOCpBxOCNGoLhoEyZigLsT7nV5UFHj7lUlJ3LdzJ6/l5HBNgwm0PsrP59qtaiDt7d26cWd4T56u0NA01VZWCCEO2tCh6tJbn3YwXC7V1QNg9mx44AEslVlEpKlMd3V1MU6nGoa01zOJamoqqInTa3C5qoGWjwmy2dRKrNY0ACoqYNkyOBkr/alUQdDEwMdcUfUyZE1S0ddBOjbtWABW566m2l5NqCW0/s78fFi4UF33K4Vz625O/eBUXztsf2f1P4sQc+AUB95MkJTDCSEa1UWDIMkEdSHesR0NEz5XJyVh1jSWV1ayxNs6Dvi8sJDLNm/GjWqb/I+MDDIz1enL7t1BumELIdqFd2LFzZv3P0vTWuvWqYGP4eFw3nmwdSvm59/ym+OqhNxcqKtTMQKoWGT4cDCb1YejxWIhvIUdL+vqvEGQmq39hx80HA5wRnkyQdk2oqPrxwCdHrmYCSyBxU2M4WmltMg0ukd0x6W7WJ69PPDOb75RGbFRo6BnT9/Nc7fPZVXuKqxGK7eMuoW7xt3FrBNncc+Ee/jXqf/a7zkchdIYQQjRDAmCxOGusXI4gASLhcvUaVDuyszE4XbzYX4+F2zciAu4PDGRV/r2RdM0NUcQUgonhGhHcXEwaJC6/ssvB7euRZ6xMccdp9I9JhOWyJ5+QVApe/fCvn3qt+BgiIkBqxX69FEfjmFh8S1uA+3NBFksqQB884362kweqrImtn02AL78Ej75BD6+cq564MG+Tj/Hpqps0G97fwu845tv1OWZZwbc/MKSFwC4bextvDT9JZ4/5XnuO+4+np36LIlhiQHL6rrua4xgjpMgSAjRiJgYdVlRobLxXYQEQV1IU+VwAI/37EmY0cjSigp6Ll3KpZs3+wKgt/v3x+A5IJAgSAjRIbydCbzlW23lDYK86wMslsSAICgrq74ULi2tfmqi3r1VEGQ0tqwUDsBmU9GU1dqd6moT33yjVjZoSv2YIFBjks4/H0JO8PTG7uggqLYW5s9X1884w3fz6tzVLNi9AJPBxK1jbuVAXFUu8BzTmGMkCBJCNMI7BwsEtiA+wkkQ1IV4y+EqKsBmC7yvm9XKxwMHEmIwkG1XZ/3uTU3l7f79MfqdEfUGQe3V2UgIIYD6erEffmj7Otzu+uBi0iTfzWZzAvXToJWSmVnfFCE1tf7hKSkqCLLbWz5Ran0mqDvz5/egulpjwAAYNDkwCPLxThC0dSvU1LT4eZrjHRf0+97fcbk9EcvPP6tAKDW1fswV8PclfwfggkEXkBqZut+6GnKWqrFUmkXDECyHBEKIRpjN+D5ku1BJnHzidSFRUWA0quuNZYOmxcayY+xY/jdwIJtGj+aZ3r0DAiCQTJAQooOcfLKaM2jbNhUgtMXGjVBSAqGhcMwxvptNpkjCwz0fflSzaZMjIBPkFR6u2mNXVcX7N5drktttx27PA2DmzB68+64q6fvzn8Ga4mmRnW8PfFBCgiod0XX1WtvB0MShhJpDqbBVsLFwo7rRWwp3+um+VNfust18vEF1i/vz+D+3aN3OMhUEmaJMLS4RFEIchbrguCAJgroQg6E+G9TU2ONkq5XzEhIYEBra6P2eTtkSBAkh2ld4eH0J29dft20d3lK4CRPUmUkPTdOI9M4WDWzcWBrQHrueygS5XPF4pkVrlt2eC+g4nRY+/jgRXdc45xw3V10FliQVBLnKXbhq/WrkNa1+ctjNm1v3+ppgMpgYn6omYf0ty1MS582onX66b7nnf38el+5iaq+pjEge0aJ1ezNBpmhpFiuEaIYEQeJw11RzhJYoLq5/b0t7bCFEu5sxQ116sxit5R1PNHnyfndZrVF4z+1s21bGTjXHaUA5XHGx94MxgTVrDvx03s5wBQXdsFo1Zs1azOzZLgwGMEWa0Kwqc7JfNqh/f3XZ1oxXIwLGBe3aBbt3q8YQnrLAnMoc3lr9FgB/OfYvLV6vo1R1hjNFSRAkhGiGBEHicOedBsjbGak1vFmgbt2giUSREEK0nXcA/2+/1XcuaCm7vb4RgHfmUz8mU5SvZL22tpSfflLX/YOgQt/ZofgWBUHe8UCFhanMmKEzYECJr8mCpmm+bJA9r0EQlJ6uLlv7GpsREAQtWKBuHDPGV6f/6MJHqXXWMiF1Aif0PKHF6/WWw5mjpSmCEKIZEgSJw503g9OSUo+GvEFQ377ttz1CCOGTlqZK4txueOON1j124ULV9SUpqX7eIT9qXJD3t/ovaW9lGkBBQYHnWkuDoH2ex6Vy1ln7DyJqMgjq3l1dtuVsVBPGdR+HQTOwu2w3Ob/MUTd6mk2sy1/nywI9c9IzrRrb4yuHk0yQEKI5EgSJw13v3uqyLUGQdwyvdIYTQnSYm29Wl88+q8az3Hxzy+admD1bXZ5xhhoA2UBjQVBiospse/lngtauPfBTVlR4M0HdmThR3+/+JoMgb/qpHYOgcGs4QxNVF7jfdngyQSecQK2jliu+uAKX7uKcAedwXNpxrVqvrzGCjAkSQjRHgiBxuDuYIMibCZIgSAjRYc47T5Wz2WwwZw68+uqB22aXlMBHH6nrV1/d6CJGY6SvHC4iQn1JX3FF/RxB4B8EJZCdfeCxk/n5KgjS9VQSE/e//4CZoHYshwOY3EONhfq4WylYLNSNHsFFn13E2vy1xAbH8vK0l1u9TskECSFaRIKg9pWeno6maQE/Tz/9dGdu0hHPOx5340ZwOFr3WAmChBAdzmCAr76C55+vv+3nn5te3u2GBx+EujoYNqx+Hp4GTKb6IOj660v57DN46qn6+2tra6mqqgKgZ0/VQWb16uY3tbpaZXISExufb6fJIMibfqqsVCV87eS6kdcB8PkAePqibkz66BS+3vo1VqOVzy/8nMSwRiK1A5BMkBCiRSQIan+PPfYYubm5vp9bbz3wDNeiaf37q/mCqqtpUbmHl/+UFjImSAjRoUJD4a674P331e/e1tdebje8+SaMGKHmFnrlFXX7008Hpnb8NCyHO+cc1TzNy5sFMpvNjB4dAcDKlc1vpsGgMjkZGd0bvb/JICgsrH6G9XbMBg1OGMy1Zb3QNbi/1y7+yPmDqKAo5l46l0k9Jh14BY2QFtlCiBaRIKj9hYeHk5SU5PsJlbZkB8VggGNVEyF+/LHlj8vPh6oq9Xhpjy2EOCS8ra5XrarPmNTUqJK566+HNWvUeCGTCR5+GE49tclVmUyRvrgjLy9vv/u9QVB8fDyjRqlAqrkgyOWyERaWD8Dgwa3MBEH9uKB2Lol76WsXD/wCx4YP4uZRN7P+5vWt6gbXkLTIFkK0SBcMgjr9U+/pp5/m8ccfJy0tjUsuuYQ777wTk6npzbLZbNhsNt/vFZ4vTofDgaO19V/tzPv8nb0d06drzJlj4v33de66y9nUidMAmzdrgIm0NB2DwdnqUrrOdLjs96ON7PfO0aX2e2Iipl690HbuxLloEfrUqRjPOw/Dd9+hWyy4H38c99lnq/Iys/kANb5hpKSoa9u3b99v/+Tm5gIqCBo2zAmYWLlSx+FwNrq2bdv2AGC3W+nfP7LR/W6IVecR7Xn2/Z7P2L07hvXrce7ejd5e/1d5eVh37uHxXRrOTxZBRMR+29Ra3kyQFq4dlu+pLvV+P4LIfu8ch/N+18LDMQF6aSnOw3D7/LV0/3VqEHTbbbcxcuRIYmJi+P3337n//vvJzc3lhRdeaPIxs2bN4tFHH93v9nnz5hESEtKRm9ti871zWXSSiAgzZvMpbNxo5PHHVzBqVMEBH/PDDz2A4URHFzB37tKO38gO0Nn7/Wgl+71zdJX9PrxnT3rs3EnWa6/hfvNNMr77DqfFwtJHHqG4Xz/YtEn9HIDJlOkbirNp0ybmzJkT0Cp6gXduHaCw8AdgOrt3a3z00XwiIvb/wty0KY/x46GsLIWffvrOd7v/ftfyNSKIoC63jrlz5oLfCaehuk5PIHPBArZ4J3A7SMlLlzIGqEhLY+Gvv7bLOsPzwjFgYOmGpbjr9m8DfrjoKu/3I43s985xOO73sOxsTgScBQXMnTu3szenWTU1NS1art2DoPvuu49nnnmm2WU2b95M//79ueuuu3y3DR06FIvFwo033sisWbOwWq2NPvb+++8PeFxFRQWpqamcfPLJRHjOinUWh8PB/PnzmTp1KmZz5048t3Il/OMf8NJL4zjrLJ3QUJ2ZM92+7nENzZunzmgef3wc06ZNO4RbevAOp/1+NJH93jm62n7XNA1++olec+bU3/jOO4w977xWraeszMLq1c9hsWhUVVXRp08f+voNcNy6dSsAAwYM4IILTuaRR3QyMzViYk7m5JP3b3+dmfkxALqexrRp0xrd764aF0tvXIpm1zj5uJMxRdZ/pRrWrYPvv6eP1UqvdvpMNfzyCwBhU6e22+f0kroluHEz5fQpBPUKapd1tqeu9n4/Ush+7xyH9X4vKICZMzHX1DDtlFPAaOzsLWpSRQsb0rR7EHT33Xdz1VVXNbtMryYGnYwdOxan08nu3bvp169fo8tYrdZGAySz2XzYvGEOh23529/g11/hjz803n5bnZ783/+MrF1Lo61evSdahw41YjYfvm/s5hwO+/1oJPu9c3SZ/T5tGmRkwI4d6vcnn8R08cWtXo3VGovFAgMHWlizxsbvv//OoEGDfPeXlJQAkJSUhNlsZvx4NZXAkiUmpk/ff32lpdkABAenBexn//1ujjRjjDDiqnChF+uY4/z+P9LTATBkZ2Nor/+n5csBMB57LMZ2WKfb7sZdo7I/QfFBh/X7qcu8348wst87x2G53xMSfFfNNTUQE9OJG9O8lu67dg+C4uPjiY+Pb9Nj16xZg8FgIMFvR4u2iYiAxYvhf/9TxxbvvQc7d8Lf/w7PPRe4rK7D+vXq+uDBh35bhRBHMZMJ5s5VqesxY+DKK9u4mkhAddFeswYWLVrE9ddf77vfvzECqJ4M77+/f2M6UM3p6ur2epZvvDOclyXRQm1FLfY8OyH9/Eqy09LUZXs1RnA4YMUKdX38+HZZpbO8fjyUMeLIPPklhDhEzGbV2bO6WjVHOIyDoJbqtDFBS5YsYdmyZRx//PGEh4ezZMkS7rzzTi677DKivR0oxEGxWuGyy9T1kSPhzDNVMPTMM4ETrhcUQHGx6jw7cGDnbKsQ4ijWpw+83PqJPv0ZjSoIGjJENc75/vvvqaio8JVJFxSosZHeIGjKFPW45cuhthaCg+vXtWMHREaqOYK6dWu8M5yXKUZ9jXq7rPl4u8NlZamoynCQzVg3blRzJUVGtts8Bt45goxhRgymTm8WK4Q43EVH1wdBXUCnfepZrVY++ugjJk+ezKBBg3jyySe58847ef311ztrk7q0U0+F8HDVCvuPPwLv82aBMjICDwSEEOJI4c0EDR0KGRm9KC4u5vbbb/fd7w2CvJUGvXtDSgrY7bC0QS+YX36BhASVwQkJaT4IMkersgtvQOGTmqrORNlsKg1/sLwzu44c2eRcSa3lzQRJe2whRIt4sz8SBB2ckSNHsnTpUsrKyqitrWXTpk3cf//9TTZEEAfHYoGTTlLXG5Z/rFqlLocOPbTbJIQQ7cVgCELTzJjN8MorqjnP+++/7xsLlJ+v5vxJ9AyK1LT6aYoWLgxc16JFEB+vgiCrtflyOG8AsV8QZDbXf6geaFbWlvB+UI8cefDr8nCVuwAwRkopnBCiBbrYXEGS/z6KeMvIly0LvN0z1paxYw/t9gghRHvRNM2XDRo3rj8DBw7E6XSyePFidF3fLwgCOPFEdenfmM7phAUL6oiOVmOIgoIOUA4X7QmCShuZb8j7ofrdd/vf11reIGjEiINfl4c3cJNMkBCiRSQIEkeqMWPUpTfo8fL+Pnr0od0eIYRoT95xQS5XOePGjQNgxYoVVFZWUldXBxDQeOeMM9RQnZUrYY+aG5VFi0DX1XgggyEYk6n5wb9NZoIALrxQXf73v/D1121+XbhcqtsDtGsmyFcOFylBkBCiBbxBkCfDfqSTIOgocswx6gt/3z7IVt1fyctTzYs0Td0vhBBHKm8myOksY6inFG3z5s2+8UChoaGEhob6lk9IgIkT1fUvvlCX//43JCZmAWC1pgVMuNroczYXBB13HNx8s2rBeddd6rIttm+HmhoICWm3pgggmSAhRCtJJkgcqcLCYMgQdX3JEnX5++/qcuBA1ThBCCGOVCZTFABOZzm9PTNDZ2ZmNloK53XOOeryvfdUg4Qvv6wPgoKCehz4OZsrhwM1J4HVqiYl2ratFa/Gj7cUbtiwdp2gUDJBQohWkSBIHMkmTFCX3iDoxx/V5fHHd872CCFEe6nPBNUHQTt27Gg2CLr4YtUVc9Wq+nGTJ5/sDYLSDvyczWWCQM2r4R3Hs3btgV/EvHnw7beBt3VAUwSQTJAQopUkCBJHMu+XfMMgyNs5TgghjlT+QVDPnj3RNI2qqirWeMbTJCcn7/eY+HiYObP+96QkOOEEb2e4FgRB0QcIggD69VOXB8oErVoFp5yiBiv99lvg7dCuTRFAMkFCiFbqYkGQfPIdZY49Vl2uWKFK4bZvVxO2eycOFEKII5V/Y4SgoCC6d+/O3r17+dFztqdHj8bL2558Un0O7t0LDzwAdnsbMkFNlcMBpKery337ml/ZV1/VX3/1VfWBreuBcwS1I2mRLYRoldhYdVlU1Lnb0U4kE3SU6dVLjf9xOODss9Vtp52mJiEXQogjmX8mCKCfJwOzxJP6TvcGIw1YLDBrFrz/PgwYADZbfWOEAz7ngcrhQHVgACgsbH5l3hQ9wOefQ2Ul7N4NZWVq3qFBgw64Pa0h5XBCiFbxlhR7SoyPdBIEHYW8XVs9DZO44YbO2xYhhGgvDYOgvg06qTUVBPnTdTd1dbuBljVGMEebAXBVuXA73I0v5A2CvB+6jXG7Aydxq6lRgZA3CzR4sIrW2pGUwwkhWsUbBBUWqtb9RzgJgo5Cf/oTpHrm/5sxA6ZP79ztEUKI9nCgIKhPnz4HXEddXRZudx2aZmlREORfSuYNKvYTH68um8sEbdoEFRWqkcKjj6rb3n23w8YDgWSChBCtFB+v5lRxu6G4uLO35qBJEHQUiomBDRvUJKmff67ez0IIcaTzHxME0L9/f999oaGh+wVFjamt3QpAcHAGmnbgsTIGkwFjmFquyZI4bx19cxMMeucrGDMGrrpKXV+wAN54o/72diaZICFEq5hM9Z9nXaAkToKgo1REBIwe3a5TTgghRKdqmAk61tsJBhg/fjzGFnzg1dSoICgkpF/Ln/dAcwXFxKjLkpKmJ0z1jgeaMAHS0uD009Xv3hK6dm7hqbv0+kxQtARBQogW8pbE5eV17na0AwmChBBCdAn1QVAZAGFhYfzzn//kmGOOYdasWS1aR5uCoAM1R/AGQS4XlJc3vow3CPLOY/DKK/XtaIcPV11t2pGj1AGeIUzmOHO7rlsI0YV1oeYIEgQJIYToEkymKKA+EwRw2223sWLFCkaNGtWiddTUbAYgOLgNmaCmgqCgIAgJUdcbK4krKYGtKvhi3Dh12b07fPEF3HgjfPhhu9ctO4ocgArgDGY5FBBCtFAXCoIkBy6EEKJL8GaCXK5KdN2NprX+4L66ehMAoaEtb0fdormCYmNVx7fi4v2zOkuXqsu+fevr7QEmT1Y/HcAbBEkWSAjRKl0oCJLTP0IIIboEb2ME0HG5Klv9eIejGIdDfbGHhAxo8eNaNFeQtySusY5K3qYI3lK4Q8BR6AmC4iUIEkK0QnKyuszO7tztaAcSBAkhhOgSjMYgNE3NpeNfEtdS3iyQ1doDkymsxY87YGMEaL5DXMPxQIeAZIKEEG3inWpg27bO3Y52IEGQEEKILqNhh7jWqKnxlsINbN1zHkwmyOGoL4c77rhWPe/BkCBICNEm/TzjJbdubbrb5RFCgiAhhBBdxsEEQW0ZDwRgjlaBRLNBUFOZoLVr1Vih6GgY0PISvIMl5XBCiDbp3VvNr1JZCbm5nb01B0WCICGEEF1GwwlTW6O2NhNQE6W2hjcT5Ch1NL2QNwhqmAmaN09dHnssGA7dV7IvCJJMkBCiNaxW1cQFYPXqzt2WgyRBkBBCiC7jYDJBNtseAIKCerbuOdtaDudywXvvqetnndWq5zxY9kI7AJYEyyF9XiFEF+Bt5e9t6nKEkiBICCFEl9FwwtSW0nWdurrdAAQFpbfuOQ80TxA0Xg7373/Dli0QFQXnntuq5zxYjgJPJihBMkFCiFaaMEFdLljQudtxkCQIEkII0WU0NmFqSzidJbhcVQBYrWmte86WzBOUlKQud+9WGaAHH4Q77lC3PfqoCoQOIRkTJIRos2nT1ATOS5ZAVlZnb02bSRAkhBCiy2hrOZw3C2SxJGE0BrXuOf1aZOtNdUs65hh1uWWLaoDw5JPq9zvvhFtvbdXzHSxd17EXSDmcEKKNUlLqJ3KePbtzt+UgSBAkhBCiy2hrY4S2lsJBfSZId+i4a92NLxQfD6NGqevbt0N4OHz4Ibzwgjqjegi5Kl3odhWsSSZICNEml16qLt9554htlS1BkBBCiC7jYDNBbQmCjGFGMKrrzZbEvf02nHQSXHIJbNwIF1/c6udqD94skDHMiDHY2CnbIIQ4wl1wAQQHq+z2smWdvTVtIkGQEEKILqMzgiBN03xzBTXbJnvwYJg/Hz74AFJTW/087cXXFEGyQEKItoqIgPPOU9fffrtzt6WNJAgSQgjRZbQ9CPK2x05v2/NGt6A5wmHC1xRBOsMJIQ7G1Very48+UpM+H2EkCBJCCNFlHOyYIKu1R5ue90gKgnxNEeKlKYIQ4iBMngw9ekBFBfz0U2dvTatJECSEEKLLaEsm6GDmCPI97xEUBEkmSAjRLgwGOP10dX3u3M7dljaQIEgIIUSX0ZYgyOksx+WqBCAoqHVzBPmeN6oFE6Z2EluejeWDlrP25LW4nW5pjy2EaD/TpqnLOXOOuC5xEgQJIYToMryTpbpcFei6q0WPsdtzfI81GkPa9LwtaozQSXLfzKVmUw2l80sp+7lMJkoVQrSfKVMgKAj27lVdL48gEgQJIYToMkymGN91h6OkRY+x2bIBsFi6tf15D+NyuKLPinzXy38rr+8OJ+VwQoiDFRICkyap6z//3Lnb0koSBAkhhOgyDAYTJlM0AA5H0QGWVryZIKs1pc3Pe7gFQbYcGzv/upOS+SVUrany3V69oVoaIwgh2tcJJ6hLCYKEEEKIzmM2xwHgcBS2aHlvJshqbXsmyBzjKYcrPjzK4bZcvYWsWVmsO3ldwO01W2ukMYIQon15g6AdO46ocUESBAkhhOhSzOZ4oOWZIJtNZYIslrZngiwpKqtiy7a1eR3txe10UzqvNOC29MfTAbDts8mYICFE+xo5ErZtg/XrQdM6e2taTIIgIYQQXUp9Jqil5XAHnwmydrOqdWXb27yO9mLbVx+IpdycQt9X+9LtT+q1ucpd6E51plbK4YQQ7cJohD59jqgACMDU2RsghBBCtKe2lsMdTCbIGwQ5ihy4bW4M1s47x1i3sw6A4H7B9H25L6DmQjKEGHDXuAEwRhg7dRuFEKKzySegEEKILqW15XB2ex4AVmtym5/TFGNCs6qzoLaczi2Jq9vlCYJ6Bftu0zQNa3er73eZI0gIcbSTIEgIIUSX0tpyOO9y3se1hX+QYcvq3CCodmctAEE9gwJutyTXBz4yHkgIcbSTIEgIIUSX4g1m7PYDl8O5XLW43bUBj2ur0AGhAFStrTrAkh2rsUwQgDXZLxOUJJkgIcTRTYIgIYQQXYrF0vJyOIejGABNM2E0RhzU84YdEwZA5YpKAJyVzk4JiFqSCZIgSAhxtJMgSAghRJfSmnI4p1MFQSZTDNpBdjaKPC4SgKKviyhdUMrqiatZMXwFe/+x96DW21reTFBQr2aCoEQJgoQQRzcJgoQQQnQprekO580Emc2xB/28UVOiCOodhKvcxdoT1lK9thqAvX/fi+4+NBMIOqucOArUPEDBPQPL4SQTJIQQ9SQIEkII0aV4u8O53TW4XDXNLtueQZDBZGDYvGEkXJqAIdgAnsSSPcdO9abqg15/S3izQKYYE6bIwFkwZEyQEELUkyBICCFEl2I0hqNpqvuZN8hpirdkzmQ6+CAIVDOCge8PZELBBI4tPJbIyapErvKPynZZ/4H4SuEajAcCsKTUBz7B/YL3u18IIY4mEgQJIYToUjRN85srqPmSuPpM0MF1hmvIFGbCHGsmfFQ4UN8soaN5myI07AwHENIvhOTrkkm+MZmQfiGHZHuEEOJwZTrwIkIIIcSRxWyOw27POWBzBG9jhPYoh2tM+EgVBFWvO7TlcA2bIgBoBo1+b/Q7JNshhBCHO8kECSGE6HJa2iGuPccENSa4r8rI1GxvfmxSe6nb6ZkjqKeUuwkhRHMkCBJCCNHltL4crmOCoJA+quzMke/AWeHskOfw55sjqJFMkBBCiHoSBAkhhOhyWpsJaq/GCA2ZIk2YE1SThtrttR3yHF66rjfbGEEIIUQ9CYKEEEJ0OS0Pgoo8y3dMEAT1AUnd3roOew4Ae74dd60bDBCUJkGQEEI0p8OCoCeffJIJEyYQEhJCVFRUo8tkZWUxffp0QkJCSEhI4J577sHp7PhyASGEEF2bxaLK4ez25svh6hsjtG93uIBt8czJY8+zd9hzQH1TBGt3KwaLnOMUQojmdFh3OLvdzvnnn8/48eN566239rvf5XIxffp0kpKS+P3338nNzeWKK67AbDbz1FNPddRmCSGEOAq0JBPkdjtxOss8y3dcJuiQBUHepgiNtMcWQggRqMNOFT366KPceeedDBkypNH7582bx6ZNm3j//fcZPnw4p512Go8//jgvvfQSdnvHflEIIYTo2loSBDmdpb7rJlNMh22LLwjK7djvttpdnqYIMh5ICCEOqNPy5UuWLGHIkCEkJib6bjvllFOoqKhg48aNnbVZQgghuoCWdIfzNkUwGiMxGDpu2jxznGqM4Czp2HJv214bANY0a4c+jxBCdAWdNllqXl5eQAAE+H7Py8tr8nE2mw2bzeb7vaKiAgCHw4HD4eiALW057/N39nYcbWS/dw7Z751D9ntLRQIq0LHbbWja/uf86uryAVUKd6D9eTD7XQvW1GMrOvZ7qm6fKoczJZu6zPtD3u+dQ/Z755D93j5auv9aFQTdd999PPPMM80us3nzZvr379+a1bbKrFmzePTRR/e7fd68eYSEhHTY87bG/PnzO3sTjkqy3zuH7PfOIfv9QBxERgK4+O67T4Gw/ZYwmZYTGgpVVUbmzp3borW2Zb+btpsIJZSirKIWP09bhG0Kw4iRdTnrWDV3VYc9T2eQ93vnkP3eOWS/H5yampZNTt2qIOjuu+/mqquuanaZXr16tWhdSUlJLF++POC2/Px8331Nuf/++7nrrrt8v1dUVJCamsrJJ59MREREi567ozgcDubPn8/UqVMxm82dui1HE9nvnUP2e+eQ/d5yS5dG4HJVcPzxwwkO7rvf/fn5BezYAfHxvZk8eVqz6zqY/V5mKWPjMxuJMEUwedrkVj22NZZduwwnTo4981hCh4R22PMcSvJ+7xyy3zuH7Pf24a0SO5BWBUHx8fHEx8e3aYMaGj9+PE8++SQFBQUkJCQAKvKNiIhg4MCBTT7OarVite5f72w2mw+bN8zhtC1HE9nvnUP2e+eQ/X5gZnMcLlcFul7e6L5yu8sAsFjiWrwv27LfLdGqMYK7yt1h/2euOhfOYjXmKLRnaJd7b8j7vXPIfu8cst8PTkv3XYeNCcrKyqKkpISsrCxcLhdr1qwBICMjg7CwME4++WQGDhzI5ZdfzrPPPkteXh4PPvggM2fObDTIEUIIIVrDbI6jrm5nkx3ivI0RTKaOa48NYApXX7XOyo5rjGDPVp3nDMEGTFGdNtxXCCGOGB32Sfnwww/z7rvv+n4fMWIEAAsWLGDKlCkYjUa+/fZbbr75ZsaPH09oaChXXnkljz32WEdtkhBCiKPIgTrE1U+U2rFBkDHcCICr0tVhz2HL9nSG62ZF07QOex4hhOgqOiwIeuedd3jnnXeaXaZHjx4dOkhUCCHE0etAcwV5b/cGSx3FGwTpdh233Y3B0v6zUzgKVTckc4KU0AghREt02jxBQgghREeyWLyZoAMFQXEduh3eIAg6LhvkKPYEQXESBAkhREtIECSEEKJL8gY3dnvj5XCHKggymAwYgtTXbUeNC/IFQbESBAkhREtIECSEEKJLank5XMcGQdDx44IcRRIECSFEa0gQJIQQoktqrjGCrrtwOEo8y3WBIEjK4YQQolUkCBJCCNElNZcJcjrLALdnuY7tDgcdHwR55wgyxUp7bCGEaAkJgoQQQnRJzQVB3tuMxkgMho7PnnjnCnJVdXAmSMrhhBCiRSQIEkII0SV5y+FcrgrcblvAfXZ7gWeZji+FAzCGqUxQhzVGkDFBQgjRKhIECSGE6JJMpkhABR8OR3HAfTbbPgCs1u6HZFtkTJAQQhxeJAgSQgjRJWmawTfep2FJXFcKgnSXjrNUZZgkEySEEC0jQZAQQoguq6kOcV0pCHKUOkBX100x0hhBCCFaQoIgIYQQXVZTzREOdRBkilDBibOi/ccEeTvDGSOMGMzytS6EEC0hn5ZCCCG6rKaDoCzgEAZB0Z4gqLT9gyAZDySEEK0nQZAQQoguy2JR5XB2e305nK7r1NRsBSAkpO8h2Q7vWB1vF7f2JO2xhRCi9SQIEkII0WU1lgmy23NwuSoBI8HBGYdmOzxZGm/A0p6kPbYQQrSeBEFCCCG6rMaCoKqqdQAEB/fGYLAcmu2I7cAgyLNOU6w0RRBCiJaSIEgIIUSX1Vh3uNLSHwGIiBh/yLbDG6B0RDmctzGCjAkSQoiWkyBICCFEl9UwE1Rbu4ucnJcBiIubcei2wxOguKvduG3udl23lMMJIUTrSRAkhBCiy2oYBO3YcRtudx1RUccTF3f2IdsOU6QJ1FRB7V4SJ40RhBCi9SQIEkII0WX5l8OVlMyjuPhbNM1Mnz4vo2naIdsOTdMwx3TMuCAJgoQQovUkCBJCCNFleTNBuu4gO/vfACQn30BoaP9Dvy0d1CZb5gkSQojWkyBICCFEl2U0BmM0hgFQXPwNAImJF3fKtnRUm2xvUCXd4YQQouUkCBJCCNGlhYQM8F23WJIPaVc4fx3RIU7X9frucFIOJ4QQLSZBkBBCiC4tLGy473pc3FloWud89VmS1JxE9jx7u63TVelCd+qABEFCCNEaEgQJIYTo0hISLvRcM5CUdE2nbYe1mxUA2z5bu63TW1pnCDZgDDG223qFEKKrkwJiIYQQXVp09IkMGTIXozGciIhRnbYd3iDInt1+mSCZI0gIIdpGgiAhhBBdXmzsaZ29CVi7d1wmSJoiCCFE60g5nBBCCHEI+MrhstsvCPI1RZD22EII0SoSBAkhhBCHgDcT5Cx14qp2tcs6pRxOCCHaRoIgIYQQ4hAwRhgxRamytdqdte2yTt9EqRIECSFEq0gQJIQQQhwCmqYR0j8EgJqtNe2yTgmChBCibSQIEkIIIQ6R4H7BANRsaecgSMYECSFEq0gQJIQQQhwivkxQewVBRdIdTggh2kKCICGEEOIQCR0UCkDV6qp2WZ+vO5yUwwkhRKtIECSEEEIcIhFjIwCo2VSDo8xx0OuTcjghhGgbCYKEEEKIQ8SSYCE4Q40LqlhScdDr87XIliBICCFaRYIgIYQQ4hCKnBgJQNnPZQe1HleNC3etG5AgSAghWkuCICGEEOIQij45GoCSH0oOaj3eLJBm1jCGGQ96u4QQ4mgiQZAQQghxCMVMjQENqtdXY8u2tXk9/uOBNE1rr80TQoijggRBQgghxCFkjjUTPjocgJJ5bc8GyXggIYRoOwmChBBCiEMs5tQYAEq+b4cgSNpjCyFEq0kQJIQQQhxiMaeoIKh0fim6rrdpHdIeWwgh2k6CICGEEOIQCx8VDgZwljqx59nbtA4phxNCiLaTIEgIIYQ4xAwWA0FpQQDUZta2aR0SBAkhRNtJECSEEEJ0gqDeKgiqy6xr0+OdxU4ATLGmdtsmIYQ4WkgQJIQQQnSC4IxgQDJBQgjRGSQIEkIIITpBUA+VCbLtbdtcQRIECSFE20kQJIQQQnQCazcrALacNgZBxdIiWwgh2kqCICGEEKITWFIsANhzWt8dTtd17AXqceZ4CYKEEKK1JAgSQgghOoE1xZMJym59JshZ7kS3qfmFLEmWdt0uIYQ4GkgQJIQQQnQCbybIWerEVetq1WPtuSoLZIoyYQwytvu2CSFEVydBkBBCCNEJTJEmDMHqa9gb1LSUd4JVyQIJIUTbSBAkhBBCdAJN09rcHMEXBCVLECSEEG0hQZAQQgjRSXzNEbIlEySEEIdShwVBTz75JBMmTCAkJISoqKhGl9E0bb+fjz76qKM2SQghhDis+JojtDYTlCtBkBBCHAxTR63Ybrdz/vnnM378eN56660ml3v77bc59dRTfb83FTAJIYQQXY23nE3GBAkhxKHVYUHQo48+CsA777zT7HJRUVEkJSV11GYIIYQQhy1vOVybxwRJECSEEG3SYUFQS82cOZPrrruOXr16cdNNN3H11VejaVqTy9tsNmy2+i+LiooKABwOBw6Ho8O3tzne5+/s7TjayH7vHLLfO4fs987RUfvdGK/aW9tybK1aty3X5nt8V34vyPu9c8h+7xyy39tHS/efpuu63pEb8s4773DHHXdQVla2332PP/44J5xwAiEhIcybN49HHnmEZ599lttuu63J9f3tb3/zZZn8ffjhh4SEhLTnpgshhBAdyrjOSNjDYbi6u6j6d1WLHxd+WTiGKgOV/6zE3cPdgVsohBBHlpqaGi655BLKy8uJiIhocrlWBUH33XcfzzzzTLPLbN68mf79+/t+by4Iaujhhx/m7bffZu/evU0u01gmKDU1laKiomZf6KHgcDiYP38+U6dOxWw2d+q2HE1kv3cO2e+dQ/Z75+io/V6zpYbVQ1djjDQyrnBcix7jrHSyLHYZAGOLx2IK7/Sijg4j7/fOIfu9c8h+bx8VFRXExcUdMAhq1Sfn3XffzVVXXdXsMr169WrNKgOMHTuWxx9/HJvNhtVqbXQZq9Xa6H1ms/mwecMcTttyNJH93jlkv3cO2e+do733e2haKACuchcGhwFjiPGAj/E2UTBFmwiOCW63bTmcyfu9c8h+7xyy3w9OS/ddq4Kg+Ph44uPj27RBLbFmzRqio6ObDICEEEKIrsQYYcQQYsBd48aeaye494GDmrqsOgCsafJdKYQQbdVhOfSsrCxKSkrIysrC5XKxZs0aADIyMggLC+Obb74hPz+fcePGERQUxPz583nqqaf485//3FGbJIQQQhxWNE3DkmyhLrMOW66tRUGQLUuVhAelBXX05gkhRJfVYUHQww8/zLvvvuv7fcSIEQAsWLCAKVOmYDabeemll7jzzjvRdZ2MjAxeeOEFrr/++o7aJCGEEOKwY022UpdZhz2nZXMF1e1RmaCgHhIECSFEW3VYEPTOO+80O0fQqaeeGjBJqhBCCHE08s4V1NIJU2t31gJg7SHlcEII0VaGzt4AIYQQ4mhmSW7dhKk1m2sACOkn00IIIURbSRAkhBBCdCJrisrotCQTpLt0arZ6gqABEgQJIURbSRAkhBBCdKLWZIJqd9Wi23Q0q0Zwz6OjPbYQQnQECYKEEEKITuQNglqSCar4vQKAsOFhaEatQ7dLCCG6MgmChBBCiE7kK4drQXe4ws8KAYiaEtWRmySEEF2eBEFCCCFEJ7J2U0GQs8yJs9LZ5HL7/r2P4q+LAUi6POmQbJsQQnRVEgQJIYQQncgUacIcZwagdkdto8uUzC9hx207AOj5RE9CB4Uesu0TQoiuSIIgIYQQopMF91FNDpoKgnbcsQN0SLomibS/ph3KTRNCiC5JgiAhhBCikwVneIKg7fsHQdWbqqnZVINm1uj9fG80TRoiCCHEwZIgSAghhOhk3kxQzbaa/e7zNkOInhqNOcp8SLdLCCG6KgmChBBCiE4WOkSN8alaXbXffd4gKP7c+EO6TUII0ZVJECSEEEJ0sogxEQBUb6jGWVXfIa42s5bqtdVghLgz4zpr84QQosuRIEgIIYToZNYUK9ZUK7hh1dhVrD9rPY5SR30p3PHRmGOlFE4IIdqLBEFCCCHEYSDmtBgAajbVUPxVMbsf3e0LguLOlSyQEEK0JwmChBBCiMNAwgUJAb9n/zObyuWVoEHcWRIECSFEezJ19gYIIYQQAqJOiKLXc71wljjJ/yAfW5YNgMiJkViTrJ28dUII0bVIECSEEEIcBjRNI+3PaiJUY7iRXX/dBUDCxQnNPUwIIUQbSBAkhBBCHGa63dqN6nXVGEINJF+T3NmbI4QQXY4EQUIIIcRhxhRmYuDsgZ29GUII0WVJYwQhhBBCCCHEUUWCICGEEBiH/BkAAAzOSURBVEIIIcRRRYIgIYQQQgghxFFFgiAhhBBCCCHEUUWCICGEEEIIIcRRRYIgIYQQQgghxFFFgiAhhBBCCCHEUUWCICGEEEIIIcRRRYIgIYQQQgghxFFFgiAhhBBCCCHEUUWCICGEEEIIIcRRRYIgIYQQQgghxFFFgiAhhBBCCCHEUUWCICGEEEIIIcRRxdTZG3CwdF0HoKKiopO3BBwOBzU1NVRUVGA2mzt7c44ast87h+z3ziH7vXPIfu8cst87h+z3ziH7vX14YwJvjNCUIz4IqqysBCA1NbWTt0QIIYQQQghxOKisrCQyMrLJ+zX9QGHSYc7tdpOTk0N4eDiapnXqtlRUVJCamsrevXuJiIjo1G05msh+7xyy3zuH7PfOIfu9c8h+7xyy3zuH7Pf2oes6lZWVpKSkYDA0PfLniM8EGQwGunfv3tmbESAiIkLevJ1A9nvnkP3eOWS/dw7Z751D9nvnkP3eOWS/H7zmMkBe0hhBCCGEEEIIcVSRIEgIIYQQQghxVJEgqB1ZrVYeeeQRrFZrZ2/KUUX2e+eQ/d45ZL93DtnvnUP2e+eQ/d45ZL8fWkd8YwQhhBBCCCGEaA3JBAkhhBBCCCGOKhIECSGEEEIIIY4qEgQJIYQQQgghjioSBAkhhBBCCCGOKhIEtaOXXnqJ9PR0goKCGDt2LMuXL+/sTTpi/PLLL5xxxhmkpKSgaRpffvllwP26rvPwww+TnJxMcHAwJ510Etu3bw9YpqSkhEsvvZSIiAiioqK49tprqaqqClhm3bp1TJw4kaCgIFJTU3n22Wc7+qUd1mbNmsXo0aMJDw8nISGBs846i61btwYsU1dXx8yZM4mNjSUsLIxzzz2X/Pz8gGWysrKYPn06ISEhJCQkcM899+B0OgOWWbhwISNHjsRqtZKRkcE777zT0S/vsPXKK68wdOhQ34R448eP57vvvvPdL/u84z399NNomsYdd9zhu032e8f429/+hqZpAT/9+/f33S/7vWNkZ2dz2WWXERsbS3BwMEOGDGHFihW+++V7tf2lp6fv917XNI2ZM2cC8l4/7OiiXXz00Ue6xWLR//Of/+gbN27Ur7/+ej0qKkrPz8/v7E07IsydO1d/4IEH9M8//1wH9C+++CLg/qefflqPjIzUv/zyS33t2rX6jBkz9J49e+q1tbW+ZU499VR92LBh+tKlS/XFixfrGRkZ+sUXX+y7v7y8XE9MTNQvvfRSfcOGDfrs2bP14OBg/bXXXjtUL/Owc8opp+hvv/22vmHDBn3NmjX6tGnT9LS0NL2qqsq3zE033aSnpqbqP/30k75ixQp93Lhx+oQJE3z3O51OffDgwfpJJ52kr169Wp87d64eFxen33///b5ldu7cqYeEhOh33XWXvmnTJv3//u//dKPRqH///feH9PUeLr7++mt9zpw5+rZt2/StW7fqf/3rX3Wz2axv2LBB13XZ5x1t+fLlenp6uj506FD99ttv990u+71jPPLII/qgQYP03Nxc309hYaHvftnv7a+kpETv0aOHftVVV+nLli3Td+7cqf/www/6jh07fMvI92r7KygoCHifz58/Xwf0BQsW6Lou7/XDjQRB7WTMmDH6zJkzfb+7XC49JSVFnzVrVidu1ZGpYRDkdrv1pKQk/bnnnvPdVlZWplutVn327Nm6ruv6pk2bdED/448/fMt89913uqZpenZ2tq7ruv7yyy/r0dHRus1m8y3zl7/8Re/Xr18Hv6IjR0FBgQ7oixYt0nVd7Wez2az/73//8y2zefNmHdCXLFmi67oKYA0Gg56Xl+db5pVXXtEjIiJ8+/ree+/VBw0aFPBcF154oX7KKad09Es6YkRHR+tvvvmm7PMOVllZqffp00efP3++PnnyZF8QJPu94zzyyCP6sGHDGr1P9nvH+Mtf/qIfd9xxTd4v36uHxu2336737t1bd7vd8l4/DEk5XDuw2+2sXLmSk046yXebwWDgpJNOYsmSJZ24ZV3Drl27yMvLC9i/kZGRjB071rd/lyxZQlRUFKNGjfItc9JJJ2EwGFi2bJlvmUmTJmGxWHzLnHLKKWzdupXS0tJD9GoOb+Xl5QDExMQAsHLlShwOR8C+79+/P2lpaQH7fsiQISQmJvqWOeWUU6ioqGDjxo2+ZfzX4V1G/j7A5XLx0UcfUV1dzfjx42Wfd7CZM2cyffr0/faN7PeOtX37dlJSUujVqxeXXnopWVlZgOz3jvL1118zatQozj//fBISEhgxYgRvvPGG7375Xu14drud999/n2uuuQZN0+S9fhiSIKgdFBUV4XK5At60AImJieTl5XXSVnUd3n3Y3P7Ny8sjISEh4H6TyURMTEzAMo2tw/85jmZut5s77riDY489lsGDBwNqv1gsFqKiogKWbbjvD7Rfm1qmoqKC2trajng5h73169cTFhaG1Wrlpptu4osvvmDgwIGyzzvQRx99xKpVq5g1a9Z+98l+7zhjx47lnXfe4fvvv+eVV15h165dTJw4kcrKStnvHWTnzp288sor9OnThx9++IGbb76Z2267jXfffff/27uX0Ka2KAzAfzGe2CAxhdQkVhIqalVErSmWoLOIEByIoyIiURHxUXBQxE4c+hgJKoIIUgcKRQQVHaixSSMVrFgS26DUB7U6EANKtKJoNf8diOd6buu9E/O4Pf8HgbD34mRnsZOdRdoVADpXy+HKlSsoFArYunUrAL3HVCNHpRcgItVh7969yOVy6Ovrq/RSbKGpqQnZbBbv37/HpUuXEI/HkU6nK72sKevVq1fYt28fEokEZsyYUenl2EosFjPvL1u2DK2trQiFQrh48SJqa2sruLKpq1gsoqWlBYcPHwYANDc3I5fL4fTp04jH4xVenT2cPXsWsVgMc+bMqfRS5Df0TdAf4PV6MW3atAkdPt68eQO/31+hVU0dP3P4b/n1+/3I5/OW+W/fvuHdu3eWmMmu8etj2FV7ezuuX7+OVCqFuXPnmuN+vx9fv35FoVCwxP8z9/+V19/FuN1u234IMgwD8+fPRzgcxpEjR7B8+XIcP35cOS+RgYEB5PN5rFy5Eg6HAw6HA+l0GidOnIDD4YDP51Pey8Tj8WDhwoV49uyZ9nuJBAIBLFmyxDK2ePFi888Qda6W1ujoKG7fvo0dO3aYY9rr1UdF0B9gGAbC4TB6enrMsWKxiJ6eHkQikQqubGpobGyE3++35PfDhw/o7+838xuJRFAoFDAwMGDGJJNJFItFtLa2mjF37tzB+Pi4GZNIJNDU1IS6uroyPZvqQhLt7e24fPkykskkGhsbLfPhcBjTp0+35H54eBgvX7605H5oaMhyWCYSCbjdbvMQjkQilmv8jNHr42/FYhFfvnxRzkskGo1iaGgI2WzWvLW0tGDz5s3mfeW9PD5+/Ijnz58jEAhov5fI6tWrJ/zcwZMnTxAKhQDoXC21rq4uzJ49G+vXrzfHtNerUKU7M0wV3d3ddDqdPHfuHB89esSdO3fS4/FYOnzI742NjTGTyTCTyRAAjx07xkwmw9HRUZI/Wnl6PB5evXqVg4OD3LBhw6StPJubm9nf38++vj4uWLDA0sqzUCjQ5/Nxy5YtzOVy7O7upsvlsm0rT5LcvXs3Z82axd7eXktbz0+fPpkxu3btYjAYZDKZ5IMHDxiJRBiJRMz5ny09161bx2w2yxs3brC+vn7Slp779+/n48ePeerUKVu39Ozs7GQ6nebIyAgHBwfZ2dnJmpoa3rp1i6RyXi6/docjlfdS6ejoYG9vL0dGRnj37l2uXbuWXq+X+XyepPJeCvfv36fD4eChQ4f49OlTXrhwgS6Xi+fPnzdjdK6Wxvfv3xkMBnngwIEJc9rr1UVF0B908uRJBoNBGobBVatW8d69e5Ve0v9GKpUigAm3eDxO8kc7z4MHD9Ln89HpdDIajXJ4eNhyjbdv33LTpk2cOXMm3W43t23bxrGxMUvMw4cPuWbNGjqdTjY0NPDo0aPleopVabKcA2BXV5cZ8/nzZ+7Zs4d1dXV0uVzcuHEjX79+bbnOixcvGIvFWFtbS6/Xy46ODo6Pj1tiUqkUV6xYQcMwOG/ePMtj2M327dsZCoVoGAbr6+sZjUbNAohUzsvln0WQ8l4abW1tDAQCNAyDDQ0NbGtrs/xejfJeGteuXePSpUvpdDq5aNEinjlzxjKvc7U0bt68SQATcklqr1ebGpKsyFdQIiIiIiIiFaD/CRIREREREVtRESQiIiIiIraiIkhERERERGxFRZCIiIiIiNiKiiAREREREbEVFUEiIiIiImIrKoJERERERMRWVASJiIiIiIitqAgSERERERFbUREkIiIiIiK2oiJIRERERERsRUWQiIiIiIjYyl9+V0hXkbvf3QAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "qhist = np.array(qhist)\n", - "qtarget = np.array(qtarget)\n", - "\n", - "each_joint_color = [\"r\", \"g\", \"b\", \"c\", \"m\", \"y\", \"k\"]\n", - "\n", - "plt.figure(figsize=(10, 5))\n", - "plt.title(\"Joint positions\")\n", - "for jidx in range(7):\n", - " plt.plot(qhist[:, jidx], color=each_joint_color[jidx])\n", - " plt.plot(qtarget[:, jidx], linestyle=\"--\", color=each_joint_color[jidx])\n", - "\n", - "plt.grid()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Offline estimation of the parameters using joint torque regressor" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "True parameters:\n", - "[ 4.97068400e+00 1.92614005e-02 1.03439934e-02 -2.36703972e-01\n", - " 7.14663369e-01 -1.79087434e-04 7.17956456e-01 7.68922777e-03\n", - " 1.96620379e-02 9.21318890e-03 6.46926000e-01 -2.03199457e-03\n", - " -1.85797147e-02 2.26100637e-03 8.50351116e-03 -3.98335872e-03\n", - " 2.81242848e-02 1.02611015e-02 7.68935939e-04 2.65349923e-02\n", - " 3.22860400e+00 8.88447249e-02 1.26729164e-01 -2.14708623e-01\n", - " 5.64949260e-02 -8.24833314e-03 5.28783820e-02 -5.48764810e-03\n", - " -4.37725712e-03 1.82492023e-02 3.58789500e+00 -1.90768377e-01\n", - " 3.74644408e-01 9.85020693e-02 6.76772726e-02 2.77158413e-02\n", - " 3.23994297e-02 3.90535528e-03 -1.64448587e-03 7.75861474e-02\n", - " 1.22594600e+00 -1.46537325e-02 5.03434725e-02 -4.71216864e-02\n", - " 3.94275710e-02 -1.51524448e-03 3.14603723e-02 -4.60024554e-03\n", - " 2.16405199e-03 1.08695108e-02 1.66655500e+00 1.00241617e-01\n", - " -2.35267569e-02 -1.75271589e-02 2.48046033e-03 1.52411091e-03\n", - " 1.05677661e-02 -1.03758875e-04 9.35690967e-05 1.17945603e-02\n", - " 7.35522000e-01 7.73548487e-03 -3.12743954e-03 4.53059486e-02\n", - " 1.53200084e-02 -3.95108722e-04 1.28990646e-02 -1.67248269e-03\n", - " -5.48359103e-04 4.90965197e-03]\n", - "Estimated parameters:\n", - "[-2.06841563e-17 1.21985755e-14 2.65412692e-14 -3.40205294e-14\n", - " -2.07785178e-14 1.72084569e-14 8.97892871e-15 -3.60822483e-15\n", - " 1.92623695e-14 -1.85327183e-01 -6.71684930e-15 2.73348000e+00\n", - " -3.31300740e+00 -1.38222767e-14 -4.33004726e-03 -1.09890073e-01\n", - " -1.80997136e-01 -8.56580562e-02 -1.11960690e-01 -1.23925416e+00\n", - " 9.22730995e-01 -4.39300164e+00 3.77114468e-01 2.52706218e+00\n", - " -6.68887154e-01 -2.58036943e-02 -5.74697053e-01 -1.62702482e+00\n", - " 2.70914855e-01 1.89794870e-01 5.57688619e-01 -6.71803250e-01\n", - " 1.36726648e+00 -3.79243273e-01 -1.50850967e-01 1.54876461e-01\n", - " -3.28241318e-01 -1.96574786e-01 -6.87834991e-02 -2.41533709e-01\n", - " 1.08131170e+00 -1.81348141e-01 7.85104734e-02 1.07869236e+00\n", - " -1.76739585e-01 -3.69853872e-03 -2.15645090e-01 -8.73567452e-02\n", - " 4.68595678e-02 1.11837270e-01 1.08131170e+00 2.67292608e-01\n", - " -1.23913007e-01 -7.85104734e-02 -4.18267199e-02 -8.80175973e-03\n", - " -2.30755957e-02 2.60340962e-02 2.86597213e-02 4.77966762e-02\n", - " 1.10502489e+00 5.27030589e-02 1.75387389e-02 1.23138452e-01\n", - " 8.15944144e-03 -7.78585388e-03 -2.18948514e-03 -2.33109731e-02\n", - " 8.11883432e-04 2.22395441e-02]\n" - ] - }, - { - "data": { - "text/plain": [ - "9.790272139997155" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from mujoco_logger import SimLog\n", - "\n", - "log = SimLog(\"invdyn.json\")\n", - "\n", - "\n", - "def construct_regression(log: SimLog):\n", - " N = len(log)\n", - " A = np.zeros((N * model.nv, len(theta)))\n", - " b = np.zeros((N * model.nv,))\n", - "\n", - " for i in range(N):\n", - " q = log[i].data(\"qpos\")\n", - " v = log[i].data(\"qvel\")\n", - " dv = log[i].data(\"qacc\")\n", - " tau = log[i].data(\"ctrl\")\n", - "\n", - " cdata.qpos[:] = q\n", - " cdata.qvel[:] = v\n", - " cdata.qacc[:] = dv\n", - "\n", - " mujoco.mj_inverse(cmodel, cdata)\n", - " mujoco.mj_rnePostConstraint(cmodel, cdata)\n", - "\n", - " Y = joint_torque_regressor(cmodel, cdata)\n", - "\n", - " A[i * model.nv : (i + 1) * model.nv, :] = Y\n", - " b[i * model.nv : (i + 1) * model.nv] = tau\n", - "\n", - " return A, b\n", - "\n", - "\n", - "A, b = construct_regression(log)\n", - "\n", - "theta_est = np.linalg.lstsq(A, b, rcond=None)[0]\n", - "\n", - "print(\"True parameters:\")\n", - "print(theta)\n", - "\n", - "print(\"Estimated parameters:\")\n", - "print(theta_est)\n", - "\n", - "np.linalg.norm(theta - theta_est)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# # from mujoco_sysid.convert import theta2logchol, logchol2theta\n", - "from mujoco_sysid.mjx.convert import theta2logchol, logchol2theta\n", - "\n", - "# print(\"Distance in Log-Cholesky between true and estimated parameters:\")\n", - "# try:\n", - "# logchol_theta = np.concatenate([theta2logchol(thetai) for thetai in np.split(theta, 7)])\n", - "# logchol_theta_est = np.concatenate([theta2logchol(thetai) for thetai in np.split(theta_est, 7)])\n", - "\n", - "# print(np.linalg.norm(logchol_theta - logchol_theta_est))\n", - "# except np.linalg.LinAlgError as e:\n", - "# print(\"Estimation is not fully physically consistent.\")\n", - "# print(e)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "2024-07-05 12:19:03.977406: W external/xla/xla/service/gpu/nvptx_compiler.cc:765] The NVIDIA driver's CUDA version is 12.4 which is older than the ptxas CUDA version (12.5.40). Because the driver is older than the ptxas version, XLA is disabling parallel compilation, which may slow down compilation. You should update your NVIDIA driver or use the NVIDIA-provided CUDA forward compatibility packages.\n" - ] - }, - { - "ename": "XlaRuntimeError", - "evalue": "INTERNAL: cuSolver internal error", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mXlaRuntimeError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[9], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m logcholideal \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mconcatenate([theta2logchol(thetai) \u001b[38;5;28;01mfor\u001b[39;00m thetai \u001b[38;5;129;01min\u001b[39;00m np\u001b[38;5;241m.\u001b[39msplit(theta, \u001b[38;5;241m7\u001b[39m)])\n", - "Cell \u001b[0;32mIn[9], line 1\u001b[0m, in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[0;32m----> 1\u001b[0m logcholideal \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mconcatenate([\u001b[43mtheta2logchol\u001b[49m\u001b[43m(\u001b[49m\u001b[43mthetai\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mfor\u001b[39;00m thetai \u001b[38;5;129;01min\u001b[39;00m np\u001b[38;5;241m.\u001b[39msplit(theta, \u001b[38;5;241m7\u001b[39m)])\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/mujoco_sysid/mjx/convert.py:133\u001b[0m, in \u001b[0;36mtheta2logchol\u001b[0;34m(theta)\u001b[0m\n\u001b[1;32m 131\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtheta2logchol\u001b[39m(theta: np\u001b[38;5;241m.\u001b[39mndarray) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m np\u001b[38;5;241m.\u001b[39mndarray:\n\u001b[1;32m 132\u001b[0m pseudo_inertia \u001b[38;5;241m=\u001b[39m theta2pseudo(theta)\n\u001b[0;32m--> 133\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mpseudo2logchol\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpseudo_inertia\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/mujoco_sysid/mjx/convert.py:126\u001b[0m, in \u001b[0;36mpseudo2logchol\u001b[0;34m(pseudo_inertia)\u001b[0m\n\u001b[1;32m 125\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mpseudo2logchol\u001b[39m(pseudo_inertia: np\u001b[38;5;241m.\u001b[39mndarray) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m np\u001b[38;5;241m.\u001b[39mndarray:\n\u001b[0;32m--> 126\u001b[0m U \u001b[38;5;241m=\u001b[39m \u001b[43mpseudo2cholesky\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpseudo_inertia\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 127\u001b[0m logchol \u001b[38;5;241m=\u001b[39m chol2logchol(U)\n\u001b[1;32m 128\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m logchol\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/mujoco_sysid/mjx/convert.py:114\u001b[0m, in \u001b[0;36mpseudo2cholesky\u001b[0;34m(pseudo_inertia)\u001b[0m\n\u001b[1;32m 110\u001b[0m indices \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marange(n \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[1;32m 112\u001b[0m reversed_inertia \u001b[38;5;241m=\u001b[39m pseudo_inertia[indices][:, indices]\n\u001b[0;32m--> 114\u001b[0m L_prime \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlinalg\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcholesky\u001b[49m\u001b[43m(\u001b[49m\u001b[43mreversed_inertia\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 116\u001b[0m U \u001b[38;5;241m=\u001b[39m L_prime[indices][:, indices]\n\u001b[1;32m 118\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m U\n", - " \u001b[0;31m[... skipping hidden 15 frame]\u001b[0m\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/jax/_src/compiler.py:238\u001b[0m, in \u001b[0;36mbackend_compile\u001b[0;34m(backend, module, options, host_callbacks)\u001b[0m\n\u001b[1;32m 233\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m backend\u001b[38;5;241m.\u001b[39mcompile(built_c, compile_options\u001b[38;5;241m=\u001b[39moptions,\n\u001b[1;32m 234\u001b[0m host_callbacks\u001b[38;5;241m=\u001b[39mhost_callbacks)\n\u001b[1;32m 235\u001b[0m \u001b[38;5;66;03m# Some backends don't have `host_callbacks` option yet\u001b[39;00m\n\u001b[1;32m 236\u001b[0m \u001b[38;5;66;03m# TODO(sharadmv): remove this fallback when all backends allow `compile`\u001b[39;00m\n\u001b[1;32m 237\u001b[0m \u001b[38;5;66;03m# to take in `host_callbacks`\u001b[39;00m\n\u001b[0;32m--> 238\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mbackend\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcompile\u001b[49m\u001b[43m(\u001b[49m\u001b[43mbuilt_c\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcompile_options\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43moptions\u001b[49m\u001b[43m)\u001b[49m\n", - "\u001b[0;31mXlaRuntimeError\u001b[0m: INTERNAL: cuSolver internal error" - ] - } - ], - "source": [ - "logcholideal = np.concatenate([theta2logchol(thetai) for thetai in np.split(theta, 7)])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import optax" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import functools\n", - "\n", - "import jax\n", - "import jax.numpy as jnp\n", - "\n", - "\n", - "@functools.partial(jax.vmap, in_axes=(None, 0))\n", - "def network(params, x):\n", - " return jnp.dot(params, x)\n", - "\n", - "\n", - "@jax.jit\n", - "def compute_loss(parameters, A, b):\n", - " # convert x from logcholesky to theta\n", - " theta = jnp.concatenate([logchol2theta(xi) for xi in jnp.split(parameters, 7)])\n", - "\n", - " y_pred = network(A, theta)\n", - " print(A.shape, theta.shape, b.shape)\n", - " loss = jnp.sum(optax.l2_loss(y_pred, b))\n", - " return loss" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "start_learning_rate = 1e-2\n", - "optimizer = optax.adam(start_learning_rate)\n", - "\n", - "# Initialize parameters of the model + optimizer.\n", - "params = logcholideal\n", - "opt_state = optimizer.init(params)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(70,) (70,) (175000,)\n" - ] - }, - { - "ename": "AssertionError", - "evalue": "[Chex] Assertion assert_equal_shape failed: Arrays have different shapes: [(70, 70), (175000,)].", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[31], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# A simple update loop.\u001b[39;00m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;241m1000\u001b[39m):\n\u001b[0;32m----> 3\u001b[0m grads \u001b[38;5;241m=\u001b[39m \u001b[43mjax\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgrad\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcompute_loss\u001b[49m\u001b[43m)\u001b[49m\u001b[43m(\u001b[49m\u001b[43mparams\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mA\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 4\u001b[0m updates, opt_state \u001b[38;5;241m=\u001b[39m optimizer\u001b[38;5;241m.\u001b[39mupdate(grads, opt_state)\n\u001b[1;32m 5\u001b[0m params \u001b[38;5;241m=\u001b[39m optax\u001b[38;5;241m.\u001b[39mapply_updates(params, updates)\n", - " \u001b[0;31m[... skipping hidden 21 frame]\u001b[0m\n", - "Cell \u001b[0;32mIn[29], line 19\u001b[0m, in \u001b[0;36mcompute_loss\u001b[0;34m(parameters, A, b)\u001b[0m\n\u001b[1;32m 17\u001b[0m y_pred \u001b[38;5;241m=\u001b[39m network(A, theta)\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28mprint\u001b[39m(A\u001b[38;5;241m.\u001b[39mshape, theta\u001b[38;5;241m.\u001b[39mshape, b\u001b[38;5;241m.\u001b[39mshape)\n\u001b[0;32m---> 19\u001b[0m loss \u001b[38;5;241m=\u001b[39m jnp\u001b[38;5;241m.\u001b[39msum(\u001b[43moptax\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43ml2_loss\u001b[49m\u001b[43m(\u001b[49m\u001b[43my_pred\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 20\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m loss\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/optax/losses/_regression.py:77\u001b[0m, in \u001b[0;36ml2_loss\u001b[0;34m(predictions, targets)\u001b[0m\n\u001b[1;32m 57\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21ml2_loss\u001b[39m(\n\u001b[1;32m 58\u001b[0m predictions: chex\u001b[38;5;241m.\u001b[39mArray,\n\u001b[1;32m 59\u001b[0m targets: Optional[chex\u001b[38;5;241m.\u001b[39mArray] \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m 60\u001b[0m ) \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m>\u001b[39m chex\u001b[38;5;241m.\u001b[39mArray:\n\u001b[1;32m 61\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"Calculates the L2 loss for a set of predictions.\u001b[39;00m\n\u001b[1;32m 62\u001b[0m \n\u001b[1;32m 63\u001b[0m \u001b[38;5;124;03m Note: the 0.5 term is standard in \"Pattern Recognition and Machine Learning\"\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 75\u001b[0m \u001b[38;5;124;03m elementwise squared differences, with same shape as `predictions`.\u001b[39;00m\n\u001b[1;32m 76\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m---> 77\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;241m0.5\u001b[39m \u001b[38;5;241m*\u001b[39m \u001b[43msquared_error\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpredictions\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtargets\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/optax/losses/_regression.py:52\u001b[0m, in \u001b[0;36msquared_error\u001b[0;34m(predictions, targets)\u001b[0m\n\u001b[1;32m 49\u001b[0m chex\u001b[38;5;241m.\u001b[39massert_type([predictions], \u001b[38;5;28mfloat\u001b[39m)\n\u001b[1;32m 50\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m targets \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 51\u001b[0m \u001b[38;5;66;03m# Avoid broadcasting logic for \"-\" operator.\u001b[39;00m\n\u001b[0;32m---> 52\u001b[0m \u001b[43mchex\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43massert_equal_shape\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpredictions\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtargets\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 53\u001b[0m errors \u001b[38;5;241m=\u001b[39m predictions \u001b[38;5;241m-\u001b[39m targets \u001b[38;5;28;01mif\u001b[39;00m targets \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;28;01melse\u001b[39;00m predictions\n\u001b[1;32m 54\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m errors \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m \u001b[38;5;241m2\u001b[39m\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/chex/_src/asserts_internal.py:278\u001b[0m, in \u001b[0;36mchex_assertion.._chex_assert_fn\u001b[0;34m(custom_message, custom_message_format_vars, include_default_message, exception_type, *args, **kwargs)\u001b[0m\n\u001b[1;32m 276\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 277\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m--> 278\u001b[0m \u001b[43mhost_assertion_fn\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 279\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 280\u001b[0m \u001b[43m \u001b[49m\u001b[43mcustom_message\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcustom_message\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 281\u001b[0m \u001b[43m \u001b[49m\u001b[43mcustom_message_format_vars\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mcustom_message_format_vars\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 282\u001b[0m \u001b[43m \u001b[49m\u001b[43minclude_default_message\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minclude_default_message\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 283\u001b[0m \u001b[43m \u001b[49m\u001b[43mexception_type\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mexception_type\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 284\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 285\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m jax\u001b[38;5;241m.\u001b[39merrors\u001b[38;5;241m.\u001b[39mConcretizationTypeError \u001b[38;5;28;01mas\u001b[39;00m exc:\n\u001b[1;32m 286\u001b[0m msg \u001b[38;5;241m=\u001b[39m (\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mChex assertion detected `ConcretizationTypeError`: it is very \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 287\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mlikely that it tried to access tensors\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m values during tracing. \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 288\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mMake sure that you defined a jittable version of this chex \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 289\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124massertion; if that does not help, please file a bug.\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", - "File \u001b[0;32m~/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/chex/_src/asserts_internal.py:196\u001b[0m, in \u001b[0;36m_make_host_assertion.._assert_on_host\u001b[0;34m(custom_message, custom_message_format_vars, include_default_message, exception_type, *args, **kwargs)\u001b[0m\n\u001b[1;32m 193\u001b[0m custom_message \u001b[38;5;241m=\u001b[39m custom_message\u001b[38;5;241m.\u001b[39mformat(\u001b[38;5;241m*\u001b[39mcustom_message_format_vars)\n\u001b[1;32m 194\u001b[0m error_msg \u001b[38;5;241m=\u001b[39m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00merror_msg\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m [\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mcustom_message\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m]\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m--> 196\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m exception_type(error_msg)\n", - "\u001b[0;31mAssertionError\u001b[0m: [Chex] Assertion assert_equal_shape failed: Arrays have different shapes: [(70, 70), (175000,)]." - ] - } - ], - "source": [ - "# A simple update loop.\n", - "for i in range(1000):\n", - " grads = jax.grad(compute_loss)(params, A, b)\n", - " updates, opt_state = optimizer.update(grads, opt_state)\n", - " params = optax.apply_updates(params, updates)\n", - "\n", - " # # params to theta list\n", - " # theta_identified = np.concatenate([logchol2theta(parami) for parami in np.hsplit(params, 7)])\n", - "\n", - " # euclidean_loss = np.linalg.norm(theta_identified - theta)\n", - " logcholesky_loss = np.linalg.norm(params - logcholideal)\n", - "\n", - " # Euclidean Loss: {euclidean_loss:.4f}\n", - " print(f\"Iteration {i}. LogCholesky Loss: {logcholesky_loss:.4f}\")\n", - "\n", - "# assert jnp.allclose(params, target_params), \"Optimization sh0ould retrive the target params used to generate the data.\"\n", - "params" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6.460824369349273" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# np.linalg.norm(params - logcholideal)\n", - "# params to theta list\n", - "theta_identified = np.concatenate([logchol2theta(parami) for parami in np.hsplit(params, 7)])\n", - "\n", - "np.linalg.norm(theta_identified - theta)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "venv", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.12" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/invdyn.json b/examples/invdyn.json deleted file mode 100644 index 9bdf00a..0000000 --- a/examples/invdyn.json +++ /dev/null @@ -1 +0,0 @@ -{"timestamp": "2024-07-05T12:18:57.775868", "nq": 7, "nv": 7, "nu": 7, "data_ctrl": [[-1.5459540926535646, 282.7140896483258, -2.0554726940104517, -139.81772540736736, -4.732461811770138, 9.949300033052655, -0.08443157472436236], [-1.4913572898984082, 278.9730158467744, -1.98519606471354, -136.61846838070034, -4.53578946698723, 9.606505968742262, -0.07911944652348607], [-1.4306573065266806, 275.42048151741074, -1.9048976381593823, -133.41139351848443, -4.335611418211156, 9.231153713283966, -0.0734202281102167], [-1.3648012840458548, 272.0545346444725, -1.814656644917777, -130.19890135516874, -4.133578188301016, 8.824416215332363, -0.06747166585258796], [-1.2943311251141072, 268.8713651429338, -1.7138995220124937, -126.98328875910885, -3.931163609413282, 8.387008829071059, -0.06140701154142969], [-1.219489433199234, 265.8652133261745, -1.6015741565411727, -123.76677665511554, -3.7297173201282288, 7.919205364926189, -0.05534976619596188], [-1.1402974462184376, 263.028239934499, -1.4762827355461594, -120.55155813983909, -3.530497270164746, 7.420851586825345, -0.04941021415862401], [-1.0566039939442897, 260.3503553567054, -1.3363718720576236, -117.33986775158138, -3.334681899081838, 6.891377276336952, -0.0436835430211544], [-0.9681027773852577, 257.819004426821, -1.1799725206659146, -114.13407303632027, -3.1433618488038824, 6.329808494919764, -0.038249340804340226], [-0.8743145732978259, 255.41890289083673, -1.0049771509672127, -110.93678988506358, -2.95751210753145, 5.734782303186217, -0.03317223627575727], [-0.7745320910959117, 253.13172257701555, -0.8089392844281043, -107.7510233261845, -2.7779476487790755, 5.104566974026044, -0.028503397965048888], [-0.6677289041418677, 250.9357246541772, -0.5888829502950803, -104.5803353211152, -2.605268942917972, 4.437091694838128, -0.024282536336059896], [-0.552440432645072, 248.8053441003666, -0.3410189343149599, -101.42904017961821, -2.4398076842313072, 3.729990920542862, -0.020539977393343012], [-0.42663364495997547, 246.71073332699532, -0.06038166400332523, -98.30242572085895, -2.281586527913619, 2.980669936242367, -0.017298323051859854], [-0.2875908807881795, 244.61727836480486, 0.25957663158226785, -95.20699320161278, -2.1303078976506966, 2.186399820289002, -0.01457321824316321], [-0.13183886751322138, 242.48510693473858, 0.6273741938218096, -92.15070011803854, -1.985384468547359, 1.3444518096208855, -0.01237283222739588], [0.044846322030405616, 240.26861471936735, 1.0537924511440195, -89.14317623604457, -1.846017286035294, 0.4522828636121061, -0.010695830699893827], [0.24733503063497864, 237.916045931015, 1.5519891277324345, -86.1958641443075, -1.711317904536088, -0.49221445732170177, -0.009527831701235195], 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-11.705383617149835, -5.207818470612967, -4.02909944858045, 11.33949661718523, -9.591358141708337], [-9.032651705419111, 12.377192209982555, -11.916407071442176, -5.496787794465259, -5.06685867903172, 11.287316459324071, -10.716052178227129], [-9.112693589626403, 12.523230250210725, -12.160544166911121, -5.798775879552769, -6.104566320998055, 11.207353751407897, -11.924184874637607], [-9.233549168799648, 12.716270448496088, -12.44108036490666, -6.117038919685075, -7.123787383762574, 11.103450969172526, -13.20033902912103], [-9.383510007797387, 12.90554554846899, -12.721977977360936, -6.421383768664041, -8.041306050747831, 10.931736449406921, -14.39995701534629], [-9.551667077981623, 13.066328011687032, -12.988097388126484, -6.702135084302203, -8.853413470176779, 10.732795136956497, -15.494666304057898], [-9.735745989512267, 13.2003001361826, -13.242715511274577, -6.95911596307684, -9.545313526144655, 10.542921002503647, -16.476367431864656], [-9.93423994659981, 13.30717711761683, -13.487648004252726, -7.19080741582053, -10.104949167150602, 10.365387176052874, -17.331742428531804], [-10.145599312190482, 13.386601253510747, -13.724294966126854, -7.396224448225711, -10.522427451997869, 10.203763565968616, -18.049690865168625], [-10.368225754379264, 13.438169971128078, -13.953673069095968, -7.574914183449739, -10.790117935872141, 10.061845664278447, -18.62162891645413], [-10.600472627036892, 13.461469859899186, -14.176461279551177, -7.7269268927317265, -10.902667151951302, 9.943593217769607, -19.041673285222085], [-10.8406509963204, 13.456113734386312, -14.393055285608613, -7.852761460419484, -10.856941223093221, 9.853082343631296, -19.30670384036065], [-11.087040078399856, 13.421777783180385, -14.60362597648709, -7.953288900901894, -10.651912545416732, 9.794473115355565, -19.416307922337012], [-11.337900522071209, 13.358236208754425, -14.808178005551452, -8.029659184633488, -10.288508293924346, 9.771992915131573, -19.372617830654725], [-11.591488957435905, 13.265391345079252, -15.006605477109364, -8.08319764316611, -9.769438204697652, 9.78993415935878, -19.180059981745288], [-11.846072491207039, 13.143297937793616, -15.19874296585194, -8.115297565810682, -9.099017035949133, 9.85266354824207, -18.845038879012996], [-12.096841051938073, 12.992509535327645, -15.392044429413218, -8.144199363101443, -8.453404612813147, 9.95971420113917, -18.538073695148903], [-12.34225332075901, 12.813597029238124, -15.588942299491608, -8.173156320707227, -7.875771551499659, 10.110420683736649, -18.301622290297484], [-12.58163887361023, 12.607059575543142, -15.789756351196077, -8.20050419046676, -7.363745965803958, 10.304356993540884, -18.13367088829333], [-12.814186990856266, 12.373432611809994, -15.99458874800156, -8.224569432757773, -6.915039083372297, 10.541001012593947, -18.031418036812774], [-13.038942468389227, 12.113302107562882, -16.203336897458538, -8.243671806585525, -6.527377697662142, 10.819705526369521, -17.991208277237174], [-13.254803968847668, 11.827317681065631, -16.415704060193743, -8.256125328956058, -6.198441602791598, 11.139670410537166, -18.008480125610028], [-13.460525114963382, 11.516204532688358, -16.631208770008975, -8.260238530265024, -5.9258069652861165, 11.49991623993968, -18.07772864609026], [-13.654718577241155, 11.180774083953423, -16.849194018147934, -8.254314836645792, -5.706896942887673, 11.899259689286025, -18.192484191172515], [-13.835863422598372, 10.821933157353547, -17.068837055571596, -8.23665383690205, -5.538941206141161, 12.336291232391488, -18.34530995476037], [-14.002315966528354, 10.440691488211204, -17.28916056498692, -8.205554123748321, -5.418946304510641, 12.809355798246841, -18.527821762475266], [-14.152324306211714, 10.038167329908262, -17.509045840388584, -8.159318320117476, -5.3436789889628455, 13.316537194997732, -18.730733924818843], [-14.284046604186567, 9.615590901911727, -17.727248476787366, -8.096260795621623, -5.309664593961457, 13.855647247772342, -18.94393491232342], [-14.395573042155045, 9.174305440451542, -17.942416907908466, -8.014718432113904, -5.31320232707543, 14.424220685646858, -19.156595990568167], [-14.484951175976542, 8.71576564848094, -18.153113927926448, -7.913064600820011, -5.350398752205343, 15.019516820200014, -19.35731471167063], [-14.550214204174866, 8.24153340784145, -18.357841091247142, -7.78972626361065, -5.417219839130643, 15.638528938616515, -19.534293279361314], [-14.589411427428843, 7.753270714011952, -18.555065604467732, -7.643203814860819, -5.509560680160402, 16.278002040955027, -19.67554934506872]]} \ No newline at end of file diff --git a/examples/offline.ipynb b/examples/offline.ipynb deleted file mode 100644 index afdf207..0000000 --- a/examples/offline.ipynb +++ /dev/null @@ -1,363 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import mediapy as media\n", - "import copy\n", - "import mujoco\n", - "import numpy as np\n", - "from robot_descriptions.loaders.mujoco import load_robot_description\n", - "\n", - "from mujoco_sysid.parameters import get_dynamic_parameters\n", - "from mujoco_sysid.regressors import joint_torque_regressor\n", - "from utils import ActuatorMotor, update_actuator\n", - "from mujoco_logger import SimLogger\n", - "\n", - "model = load_robot_description(\"panda_mj_description\", variant=\"panda_nohand\")\n", - "# disable collisions\n", - "model.opt.disableflags |= (\n", - " mujoco.mjtDisableBit.mjDSBL_CONTACT | mujoco.mjtDisableBit.mjDSBL_FRICTIONLOSS | mujoco.mjtDisableBit.mjDSBL_LIMIT\n", - ")\n", - "\n", - "for actuator_id in range(model.nu):\n", - " actuator = ActuatorMotor()\n", - " update_actuator(model, actuator_id, actuator)\n", - "\n", - "data = mujoco.MjData(model)" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# model and data specifically to perform controller computations\n", - "cmodel = copy.deepcopy(model)\n", - "cdata = copy.deepcopy(data)\n", - "\n", - "\n", - "def controller(q, v, dv_desired, theta_est):\n", - " \"\"\"\n", - " Inverse dynamics controller with feedforward term.\n", - " \"\"\"\n", - "\n", - " cdata.qpos[:] = q.copy()\n", - " cdata.qvel[:] = v.copy()\n", - " cdata.qacc[:] = dv_desired.copy()\n", - " mujoco.mj_inverse(cmodel, cdata)\n", - " mujoco.mj_rnePostConstraint(cmodel, cdata)\n", - "\n", - " Y = joint_torque_regressor(cmodel, cdata)\n", - " return Y @ theta_est" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# ideal set of dynamic parameters\n", - "theta = np.concatenate([get_dynamic_parameters(model, i) for i in model.jnt_bodyid])" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "True parameters:\n", - "[ 4.97068400e+00 1.92614005e-02 1.03439934e-02 -2.36703972e-01\n", - " 7.14663369e-01 -1.79087434e-04 7.17956456e-01 7.68922777e-03\n", - " 1.96620379e-02 9.21318890e-03 6.46926000e-01 -2.03199457e-03\n", - " -1.85797147e-02 2.26100637e-03 8.50351116e-03 -3.98335872e-03\n", - " 2.81242848e-02 1.02611015e-02 7.68935939e-04 2.65349923e-02\n", - " 3.22860400e+00 8.88447249e-02 1.26729164e-01 -2.14708623e-01\n", - " 5.64949260e-02 -8.24833314e-03 5.28783820e-02 -5.48764810e-03\n", - " -4.37725712e-03 1.82492023e-02 3.58789500e+00 -1.90768377e-01\n", - " 3.74644408e-01 9.85020693e-02 6.76772726e-02 2.77158413e-02\n", - " 3.23994297e-02 3.90535528e-03 -1.64448587e-03 7.75861474e-02\n", - " 1.22594600e+00 -1.46537325e-02 5.03434725e-02 -4.71216864e-02\n", - " 3.94275710e-02 -1.51524448e-03 3.14603723e-02 -4.60024554e-03\n", - " 2.16405199e-03 1.08695108e-02 1.66655500e+00 1.00241617e-01\n", - " -2.35267569e-02 -1.75271589e-02 2.48046033e-03 1.52411091e-03\n", - " 1.05677661e-02 -1.03758875e-04 9.35690967e-05 1.17945603e-02\n", - " 7.35522000e-01 7.73548487e-03 -3.12743954e-03 4.53059486e-02\n", - " 1.53200084e-02 -3.95108722e-04 1.28990646e-02 -1.67248269e-03\n", - " -5.48359103e-04 4.90965197e-03]\n", - "Estimated parameters:\n", - "[-7.03840303e-19 -2.86229374e-16 -3.84935139e-15 2.07472928e-15\n", - " 6.66133815e-16 -1.20389809e-15 2.11636264e-15 -3.55271368e-15\n", - " -2.82759927e-16 1.46206133e-02 1.27502175e-15 -2.03199457e-03\n", - " -1.13385618e+00 -8.95811203e-15 -8.09624708e-03 -3.98335872e-03\n", - " 2.27168604e-02 1.02611015e-02 7.68935939e-04 1.53426585e-02\n", - " 3.59022149e-01 4.96549577e-01 1.41564029e-02 1.13843591e+00\n", - " -1.52936446e-02 1.03891967e-03 2.25400560e-02 -5.48764810e-03\n", - " -4.37725712e-03 4.40702582e-02 4.00440856e-01 -3.35508262e-01\n", - " 5.11566393e-01 -1.40706920e-02 -2.33784511e-02 3.90119051e-02\n", - " 5.21550646e-02 3.90535528e-03 -1.64448587e-03 -9.34313013e-03\n", - " 6.21264075e-01 -1.46537325e-02 3.39353157e-02 4.89654701e-01\n", - " -9.50818120e-03 -1.51524448e-03 -2.32134000e-02 -4.60024554e-03\n", - " 2.16405199e-03 1.66075310e-02 6.21264075e-01 1.09433216e-01\n", - " -3.43075487e-02 -3.39353157e-02 1.46074308e-03 2.47282059e-03\n", - " 5.63860670e-03 -1.03758875e-04 9.35690967e-05 1.73217240e-02\n", - " 6.31072003e-01 7.73548487e-03 -3.12743954e-03 3.45251569e-02\n", - " 1.06017054e-02 -3.95108722e-04 8.18076165e-03 -1.67248269e-03\n", - " -5.48359103e-04 4.90965197e-03]\n" - ] - }, - { - "data": { - "text/plain": [ - "7.049623006039612" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from mujoco_logger import SimLog\n", - "\n", - "log = SimLog(\"invdyn.json\")\n", - "\n", - "\n", - "def construct_regression(log: SimLog):\n", - " N = len(log)\n", - " A = np.zeros((N * model.nv, len(theta)))\n", - " b = np.zeros((N * model.nv,))\n", - "\n", - " for i in range(N):\n", - " q = log[i].data(\"qpos\")\n", - " v = log[i].data(\"qvel\")\n", - " dv = log[i].data(\"qacc\")\n", - " # tau = log[i].data(\"qfrc_inverse\")\n", - "\n", - " cdata.qpos[:] = q\n", - " cdata.qvel[:] = v\n", - " cdata.qacc[:] = dv\n", - "\n", - " mujoco.mj_inverse(cmodel, cdata)\n", - " mujoco.mj_rnePostConstraint(cmodel, cdata)\n", - "\n", - " Y = joint_torque_regressor(cmodel, cdata)\n", - "\n", - " A[i * model.nv : (i + 1) * model.nv, :] = Y\n", - " b[i * model.nv : (i + 1) * model.nv] = cdata.qfrc_inverse.copy()\n", - "\n", - " return A, b\n", - "\n", - "\n", - "A, b = construct_regression(log)\n", - "\n", - "theta_est = np.linalg.lstsq(A, b, rcond=None)[0]\n", - "\n", - "print(\"True parameters:\")\n", - "print(theta)\n", - "\n", - "print(\"Estimated parameters:\")\n", - "print(theta_est)\n", - "\n", - "np.linalg.norm(theta - theta_est)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "import jax\n", - "import jax.numpy as jnp\n", - "from mujoco_sysid.convert import theta2logchol\n", - "\n", - "\n", - "def logchol2theta(log_cholesky: jnp.ndarray) -> jnp.ndarray:\n", - " alpha, d1, d2, d3, s12, s23, s13, t1, t2, t3 = log_cholesky\n", - "\n", - " exp_d1 = jnp.exp(d1)\n", - " exp_d2 = jnp.exp(d2)\n", - " exp_d3 = jnp.exp(d3)\n", - "\n", - " theta = jnp.array(\n", - " [\n", - " 1,\n", - " t1,\n", - " t2,\n", - " t3,\n", - " s23**2 + t2**2 + t3**2 + exp_d2**2 + exp_d3**2,\n", - " -s12 * exp_d2 - s13 * s23 - t1 * t2,\n", - " s12**2 + s13**2 + t1**2 + t3**2 + exp_d1**2 + exp_d3**2,\n", - " -s13 * exp_d3 - t1 * t3,\n", - " -s23 * exp_d3 - t2 * t3,\n", - " s12**2 + s13**2 + s23**2 + t1**2 + t2**2 + exp_d1**2 + exp_d2**2,\n", - " ]\n", - " )\n", - "\n", - " exp_2_alpha = jnp.exp(2 * alpha)\n", - " theta *= exp_2_alpha\n", - "\n", - " return theta\n", - "\n", - "\n", - "logcholideal = np.concatenate([theta2logchol(thetai) for thetai in np.split(theta, 7)])" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "2024-07-05 16:05:28.419489: W external/xla/xla/service/gpu/nvptx_compiler.cc:765] The NVIDIA driver's CUDA version is 12.4 which is older than the ptxas CUDA version (12.5.40). Because the driver is older than the ptxas version, XLA is disabling parallel compilation, which may slow down compilation. You should update your NVIDIA driver or use the NVIDIA-provided CUDA forward compatibility packages.\n" - ] - }, - { - "data": { - "text/plain": [ - "1.5977166e-07" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "theta_ideal = jnp.concatenate([logchol2theta(logcholideal[i : i + 10]) for i in range(0, 70, 10)])\n", - "\n", - "np.linalg.norm(theta - theta_ideal)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0013029621" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.linalg.norm(A @ theta_ideal - b)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "A = A[:1000*model.nv, :]\n", - "b = b[:1000*model.nv]" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/lvjonok/github.com/lvjonok/mujoco-sysid/venv/lib/python3.10/site-packages/jax/_src/core.py:678: FutureWarning: unhashable type: . Attempting to hash a tracer will lead to an error in a future JAX release.\n", - " warnings.warn(\n" - ] - } - ], - "source": [ - "import optax\n", - "import optimistix\n", - "\n", - "\n", - "@jax.jit\n", - "def all_logchol2theta(logchol):\n", - " return jnp.concatenate([logchol2theta(logchol[i : i + 10]) for i in range(0, 70, 10)])\n", - "\n", - "\n", - "@jax.jit\n", - "def fn(y, args):\n", - " x = all_logchol2theta(y)\n", - " A, b = args\n", - " return A @ x - b, None\n", - "\n", - "\n", - "results = optimistix.least_squares(\n", - " fn,\n", - " solver=optimistix.LevenbergMarquardt(1e-4, 1e-4),\n", - " y0=logcholideal * 0.7,\n", - " args=(A, b),\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(Array(4.253225, dtype=float32), Array(3.5682945, dtype=float32))" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "jnp.linalg.norm(all_logchol2theta(results.value) - theta_ideal), jnp.linalg.norm(logcholideal - results.value)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "venv", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.12" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}